Farmer Fiona raises cows and chickens. In all, her animals have 20 heads and 70 legs. How many cows and chickens does she have? Please remember to fully explain your thinking and the strategy you used.
31 comments:
DARREN FISHER
said...
DARREN FISHER
she had animals and her animals has 20 heads and 70 legs so I did 5 chickens times 2 =10 and 15 times 4 =60 the 10 + 60 = 70
Fairst i divided 4 legs from 70 becuase cows have 4 legs,i got 17 R.2.then i divided 2 from 70 because a chicken has 2 legs,then i got 35.Then i added 1 because the cow has R,2 and a chicken has 2 legs.Then i divided 20.They both have 1 head so i put 10 on these side and 10 on the other.Next i divided the total # os cows by 4 i got 6r3,divided the totle # of ck. by 2 and got 23.
Knowing that Fiona has 20 head, I know that she has 20 animals. I know that cows have 4 legs and chickens have 2. With that information, I discovered that Fiona must have 15 cows and 5 chickens, that would give us 70 legs. The way I found that out was by multiplying 15 x 4, whuch gave me 60, and 5 x 2, which gave me 10. When you add those answers, you get 70 legs. Your answer is 15 cows and 5 chickens.
1. First, I made a chart of heads and legs 2. Second, I put cows all the way to head 11 which gave me 48 legs 3. Third, I put one chicken so I could get a number that I could find things out easier with 4. I found out that I had 8 slots left, I found out taht i could fit 2 cows and 1 chicken to get 60 legs and 15 heads 5. I had 10 legs left and 5 heads, ten divided by 5 gives you two, so I put in 5 chickens 6. Finally I came up with
For this problem I started out by multiplying starting from 10 and went on and on until I multplied 15 by 4 and 5 by 2 and ended up with 60 and 10 which equal 70, the amount of total legs. Then I took 15 and five and that gave me the amount of animals in each catagory, so i eneded up with 15 cows and 5 chickens.
Farmer Fiona has 15 cows and 5 chickens. All I did was guess and check. I started out with 10 cows and 10 chickens, that was 60 legs. Until we got 14 cows and 6 chickens. Total legs was 68, so we did 15 cows and 5 chickens. which was 70 legs.
10 cows and 15 chickens. I solved the problem by writing 1 cow-4 legs chicken-2 legs Then I guessed and checked.30 and 40 equals 70.30 divided by 2 equals 15 chickens and 40 divided by 4 equals 10 cows.
The answer is 15 cows and 5 chickens. I got this answer by first dividing 70 by 4 and getting 17 cows and 1 chicken, but that wouldn't work so it would be 18 heads. So I needed 2 more heads so I took that 2 from the 17 heads and did 15 times 4 would give you 60 legs and 15 heads for the cows. Then you need 10 heads so 10 divided by 2 is 5 so five chickens and that is the answer.
Sarah said- i know there are 20 animals and all together they have 70 legs so i just guessed 6 cows and 12 chickensand that gave me 68 so i knew i only needed 2 more legs so i replaced a chicken with a cow and added that and got the answer 70 so my final answer was 5 cows and 10 chickens.
Hannah Kim 3-8-12 Chickens have 2 legs and have 1 head. Cows have 4 legs and 1 head. There are 20 animals because each animal has 1 head and there are 20 heads. I divided 70 by 4 because there are 70 legs and 4 legs on a cow. The quotient was 17 remainder 2. This means that there are 17 cows and 1 chicken because a chicken has 2 legs and there were two legs left after I divided.
first,there is 4legs on acow so I found out how many cows are in 70 legs. The answer was 17remainder2 and there is 2legs so take the remainder wich is 2 and divide by the number of leg on a chiken wich is 2 and the answer is 1.there is 1head on any animal and there is 17 cows and 1chiken so I added those numbers together and I got 18heads.But I need 20heads so Itook out cows and replaced each cow with 2hens because there is 4legs on a cow and 2legs on a chiken so 4legs are replaced with 2,2leg wich is the same number as 4. when I subtracted 3cows, and added 4chikens, I got 20heads so this is the answer. 70/4=17r2 2/2=1 17+1=18 17-3=14 3*4=12 12/2=6 14+6=20
5 chickens and 15 cows --------------------- the # of chickens and cows added together has to equal twenty. the # of chickens times the # of legs added to the # of cows times the # of legs has to equal 70.
My Answer: The answer I got was 15 cows with 60 legs and 5 chickens with 10 legs. This combination would get 70 legs and 20 heads. I got this answer by first doing guess and check till I got to 15 cows multiplied by 4 because cows have 4 legs this would be 60 legs and 15 heads. Then I guess and checked till I got 5 chickens and multiplied this by 2 because chickens have 2 legs and got 5 heads and 10 legs. Then I added 60 legs from the cows and 10 legs from the chicken which would be 70 legs. Last I added 15 heads from the cows and 5 heads from the chicken and I got 20 heads. My answer would be 15 cows an 5 chickens.
My Answer: The answer I got was 15 cows with 60 legs and 5 chickens with 10 legs. This combination would get 70 legs and 20 heads. I got this answer by first doing guess and check till I got to 15 cows multiplied by 4 because cows have 4 legs this would be 60 legs and 15 heads. Then I guess and checked till I got 5 chickens and multiplied this by 2 because chickens have 2 legs and got 5 heads and 10 legs. Then I added 60 legs from the cows and 10 legs from the chicken which would be 70 legs. Last I added 15 heads from the cows and 5 heads from the chicken and I got 20 heads. My answer would be 15 cows an 5 chickens.
If there are 20 heads in Fiona’s farm that means there are 20 animals. to figure this out I used the guess and check method. Let’s say I guess we have 15 cows and 5 chickens than I multiply 15 cows times the 4 legs each cow has and then I get 60. Then I multiply 5 chickens times 2 legs a chicken and get 10 I add 10 and 60 to get 70.
what i would do is that 15 cows and 5 chickins its means 20 heads in all each cow should have 4 legs 15 cows x 4 = 60 and each chicken should have 2 legs x 5=10
First I did 10 cows x 4 legs = 40 legs.Then I did 8 chickens x 2 legs = 16 legs.Then I added 40 legs + 16 legs = 56 legs. Next I kept going and got 62 legs,64 legs,66 legs,and 68 legs. Then I did 15 cows x 4 legs = 60 legs and 5 chickens x 2 legs = 10 legs so I added 60 legs + 10 legs =70 legs.
So the answer I got was she has 15 cows and 5 chickens.
so what i did is it said there is 20 heads and 70 legs, so i did half of 20 which is 10 and multiplied it by 2 for chickens which is 20, and then multiplied 10 x 4 legs for the cow, which is 40 and added them together and got 60 legs. after that, i tried 11 x 2 and 9 x4 and figured out that i was going the wrong way. i ended up with 5 heads x 2 legs for the chickens which equal 10, and 15 heads x 4 legs for the cows each which equal 60. So 10 legs with 5 head plus 60 legs with 15 heads equal 70 legs on 20 heads. that means 5 chickens and 15 cows.
First I added 20heads to 70 legs, then I got 90heads and legs. Second I divided 90 by 2 and got 45. Third I divided 90 by 4 and got 22r2. Third I added 45 to 22r2 and got 69legs. Fourth I divided that by 4 and got 18legs. Fifth I divided that by 2 and got 9.
15x4=60 cows legs 5x2=10 chicken legs 60+10=70 legs altogether 15 cows and 5 chickens since I knew their were 20 chickens and cows in the farm, and altogether they have 70 legs,and 20 heads, I kept trying different numbers and multiplied them by 4, to find how many cows she has. 15 was the right number for the cows. Since 15 cows have 60 legs, I subtracted 60 from 70, and that is 10, and I divided 10 by 2 and I got 5 chickens.
first a cow has four legs and a chicken has 2. So I multiplied 15 cows times 4 lags each and got 60. Then I multiplied 5 chickens times 2 legs each and got 10. Then I added 60 and 10 and got 70.
31 comments:
DARREN FISHER
she had animals and her animals has 20 heads and 70 legs so I did 5 chickens times 2 =10 and 15 times 4 =60 the 10 + 60 = 70
I got animals because if you get 20 divided by ten equals ten plus 70 divided by two equals 35 altogether equals 45.
Fairst i divided 4 legs from 70 becuase cows have 4 legs,i got 17 R.2.then i divided 2 from 70 because a chicken has 2 legs,then i got 35.Then i added 1 because the cow has R,2 and a chicken has 2 legs.Then i divided 20.They both have 1 head so i put 10 on these side and 10 on the other.Next i divided the total # os cows by 4 i got 6r3,divided the totle # of ck. by 2 and got 23.
Knowing that Fiona has 20 head, I know that she has 20 animals. I know that cows have 4 legs and chickens have 2. With that information, I discovered that Fiona must have 15 cows and 5 chickens, that would give us 70 legs. The way I found that out was by multiplying 15 x 4, whuch gave me 60, and 5 x 2, which gave me 10. When you add those answers, you get 70 legs. Your answer is 15 cows and 5 chickens.
i added 70 plus 20 and got 90 multiplied that by 2 and got 180 animals
2x5=10
4x15=60
10+60=70
15 cows 5 chickens
1. First, I made a chart of heads and legs
2. Second, I put cows all the way to head 11 which gave me 48 legs
3. Third, I put one chicken so I could get a number that I could find things out easier with
4. I found out that I had 8 slots left, I found out taht i could fit 2 cows and 1 chicken to get 60 legs and 15 heads
5. I had 10 legs left and 5 heads, ten divided by 5 gives you two, so I put in 5 chickens
6. Finally I came up with
14 cows & 6 chickens
Split the groups up in to 4ths then put 3 4ths cows and 1 4th chickens to get 20 and 70.
20*3=60 and 2 heads*2 feet=10
So you end up with 15 cows and 5 chickens
Answer: Cows= 15 Chickens=5
For this problem I started out by multiplying starting from 10 and went on and on until I multplied 15 by 4 and 5 by 2 and ended up with 60 and 10 which equal 70, the amount of total legs. Then I took 15 and five and that gave me the amount of animals in each catagory, so i eneded up with 15 cows and 5 chickens.
First, I divide 20 by 2,which gave me 10. Then I divide 70 by 4 to get 17.5,the .5 percent counts the tail.
1.20 divided by 2=10
2.70 divided by 4=17.5
Farmer Fiona has 15 cows and 5 chickens. All I did was guess and check. I started out with 10 cows and 10 chickens, that was 60 legs. Until we got 14 cows and 6 chickens. Total legs was 68, so we did 15 cows and 5 chickens. which was 70 legs.
10 cows and 15 chickens.
I solved the problem by writing
1 cow-4 legs chicken-2 legs
Then I guessed and checked.30 and 40 equals 70.30 divided by 2 equals 15 chickens and 40 divided by 4 equals 10 cows.
The answer is 15 cows and 5 chickens. I got this answer by first dividing 70 by 4 and getting 17 cows and 1 chicken, but that wouldn't work so it would be 18 heads. So I needed 2 more heads so I took that 2 from the 17 heads and did 15 times 4 would give you 60 legs and 15 heads for the cows. Then you need 10 heads so 10 divided by 2 is 5 so five chickens and that is the answer.
Sarah said-
i know there are 20 animals and all together they have 70 legs so i just guessed 6 cows and 12 chickensand that gave me 68 so i knew i only needed 2 more legs so i replaced a chicken with a cow and added that and got the answer 70 so my final answer was 5 cows and 10 chickens.
Hannah Kim 3-8-12
Chickens have 2 legs and have 1 head. Cows have 4 legs and 1 head.
There are 20 animals because each animal has 1 head and there are 20 heads.
I divided 70 by 4 because there are 70 legs and 4 legs on a cow. The quotient was 17 remainder 2. This means that there are 17 cows and 1 chicken because a chicken has 2 legs and there were two legs left after I divided.
There are 5 chickens and 15 cows. I got that answer by making a chart.
first,there is 4legs on acow so I found out how many cows are in 70 legs. The answer was 17remainder2 and there is 2legs so take the remainder wich is 2 and divide by the number of leg on a chiken wich is 2 and the answer is 1.there is 1head on any animal and there is 17 cows and 1chiken so I added those numbers together and I got 18heads.But I need 20heads so Itook out cows and replaced each cow with 2hens because there is 4legs on a cow and 2legs on a chiken so 4legs are replaced with 2,2leg wich is the same number as 4. when I subtracted 3cows, and added 4chikens, I got 20heads so this is the answer.
70/4=17r2
2/2=1
17+1=18
17-3=14
3*4=12
12/2=6
14+6=20
5 chickens and 15 cows
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the # of chickens and cows added together has to equal twenty. the # of chickens times the # of legs added to the # of cows times the # of legs has to equal 70.
It would be 15 cows and 5 chickens because 15x4 would equals 60 plus 5x2 would be 10 so 60 plus 10 would be 70 legs. And 15 plus 5 would be 20 heads.
20 heads
70 legs
4 legs and 1 head per cow
2 legs and 1 head per chicken
how many animals in all
guess and check
work:
15x4=60
5x2=+10
70 legs
Farmer Fiona has _15_ cows and _5_ chickens
My Answer: The answer I got was 15 cows with 60 legs and 5 chickens with 10 legs. This combination would get 70 legs and 20 heads. I got this answer by first doing guess and check till I got to 15 cows multiplied by 4 because cows have 4 legs this would be 60 legs and 15 heads. Then I guess and checked till I got 5 chickens and multiplied this by 2 because chickens have 2 legs and got 5 heads and 10 legs. Then I added 60 legs from the cows and 10 legs from the chicken which would be 70 legs. Last I added 15 heads from the cows and 5 heads from the chicken and I got 20 heads. My answer would be 15 cows an 5 chickens.
My Answer: The answer I got was 15 cows with 60 legs and 5 chickens with 10 legs. This combination would get 70 legs and 20 heads. I got this answer by first doing guess and check till I got to 15 cows multiplied by 4 because cows have 4 legs this would be 60 legs and 15 heads. Then I guess and checked till I got 5 chickens and multiplied this by 2 because chickens have 2 legs and got 5 heads and 10 legs. Then I added 60 legs from the cows and 10 legs from the chicken which would be 70 legs. Last I added 15 heads from the cows and 5 heads from the chicken and I got 20 heads. My answer would be 15 cows an 5 chickens.
If there are 20 heads in Fiona’s farm that means there are 20 animals. to figure this out I used the guess and check method. Let’s say I guess we have 15 cows and 5 chickens than I multiply 15 cows times the 4 legs each cow has and then I get 60. Then I multiply 5 chickens times 2 legs a chicken and get 10 I add 10 and 60 to get 70.
what i would do is that 15 cows and 5 chickins its means 20 heads in all each cow should have 4 legs 15 cows x 4 = 60 and each chicken should have 2 legs x 5=10
SO 60+10=70
First I did 10 cows x 4 legs = 40 legs.Then I did 8 chickens x 2 legs = 16 legs.Then I added 40 legs + 16 legs = 56 legs.
Next I kept going and got 62 legs,64 legs,66 legs,and 68 legs.
Then I did 15 cows x 4 legs = 60 legs and 5 chickens x 2 legs = 10 legs so I added 60 legs + 10 legs =70 legs.
So the answer I got was she has 15 cows and 5 chickens.
so what i did is it said there is 20 heads and 70 legs, so i did half of 20 which is 10 and multiplied it by 2 for chickens which is 20, and then multiplied 10 x 4 legs for the cow, which is 40 and added them together and got 60 legs. after that, i tried 11 x 2 and 9 x4 and figured out that i was going the wrong way. i ended up with 5 heads x 2 legs for the chickens which equal 10, and 15 heads x 4 legs for the cows each which equal 60. So 10 legs with 5 head plus 60 legs with 15 heads equal 70 legs on 20 heads. that means 5 chickens and 15 cows.
First I added 20heads to 70 legs,
then I got 90heads and legs.
Second I divided 90 by 2 and got 45.
Third I divided 90 by 4 and got
22r2.
Third I added 45 to 22r2 and got
69legs.
Fourth I divided that by 4 and got
18legs.
Fifth I divided that by 2 and got
9.
Answer: 9animals
cows- 4 legs x □
chickens- 2 legs x ■
1. □ + ■ = 20
2. 4x□ + 2x■ = 70
■= 20-□
4x□ + 2x(20-□)=70
1) 2x20=40, 2x□
4x□ + 40-2x□ = 70
*number that you know need to go to back and change a mathematcal symbal to opposite one.
4x□ - 2x□ = 70-40
= 2x□ = 70-40 (30)
2x□=30, 2/30 = 15
□ = 15 [cow]
■ = 5 (■=20-□) [chicken]
She has 15 cows and 5 chickens.
15x4=60 cows legs
5x2=10 chicken legs
60+10=70 legs altogether
15 cows and 5 chickens
since I knew their were 20 chickens and cows in the farm, and altogether they have 70 legs,and 20 heads, I kept trying different numbers and multiplied them by 4, to find how many cows she has. 15 was the right number for the cows. Since 15 cows have 60 legs, I subtracted 60 from 70, and that is 10, and I divided 10 by 2 and I got 5 chickens.
x x 2 + y x4 =70
5 x 2 + 15 x 4 =70
10 x 60 =70
5 chickens and 15 cows.
first a cow has four legs and a chicken has 2. So I multiplied 15 cows times 4 lags each and got 60. Then I multiplied 5 chickens times 2 legs each and got 10. Then I added 60 and 10 and got 70.
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