Dan played 3 games of marbles. In the 1st game, he lost 1/2 of his marbles. In the 2nd game he won 4 marbles. In the 3rd game, he won the same number of marbles as he had at the end of the 2nd game. He finished with 32 marbles. How many marbles did Dan start with?
39 comments:
*1st he lost 1/2
*2nd & 3rd he got 4 more
*He finished with 32
□-1/2=△, △+8(4+4)=32
-change a addition sign to a subtraction sign and a multiplecation sign to a division sign.
so..
32-8=24, 24x2=48
-Dan started with 48 marbles.-
1. I made a chart of the games, start, and finish times.
2. I divided 32 by 2 because he got the same number in the second and third games (16,16).
3. I subtraced 4 from sixteen because that is how many marbles Dan gained in the second round
4. I multiplied 12x2 because he lost 50% in the first game.
5. Finally I checked my work and found that he started with 32 marbles.
32 marbles
First I added 4 and 4 together,to get 8. Then I subtracted 8 from 32 to get 24. Then I multiplyed 24 by 2 to get 48
1. 4+4=8
2. 32-8=24
3. 24x2=48
first i added 4+4=8 then i subtracted 32-8= 24 then i mutiplied 24x2=48.dan started out with 48 marbles
He won 4 marbles
and lost half
32/2=16-4=12+12 which is half equales 24
he started with 24 marbles
i guessed then checked i did 28 and it ended up being 36 so i subtracted 4 and that was 32 so i subtracted 4 from 28 and got 24 and then i checked and i got it right.and she started out with 24 marbles
she started out with 24 marbles
Dan started with 24 marbles. I know 12 is half of 24. The next round, he got 4 more, so that is 16 marbles. On the last round you have to double it because he got the same number of marble as the end of the 2nd game. so 16 x 2 = 32, which is how much he started with.
First, I add 4 marbles plus 4 marbles because he won 4 marbles on the 2nd game and won the same number of marbles on the 3rd game. Then, I subtract 32 marbles total at the end minus 8 marbles won and got the answer 24 marbles started without the first game. Then, since he lost one half of his marbles, I multiply 24 marbles times 2 of how much he lost and got the answer 48 marbles started. The answer is 48 marbles started with.
first I wrote down what I knew which was 1 game lost half 2 game won 4 3 game won as much as he had in the 2 game.
Then I started to work through each game like starting with 20 and working through the games until i got to 24 and I did 24-12=12+4=16+16=32
So the answer was he started with 24 marbles.
My Answer: Dan started with 24 marbles because he lost ½ on the first game then on the 2nd game he won 4. Then on the third game he won the same number which is ½ and 4. When you add the two 4’s that equals to 8. The 32 marbles he finished with minus 8 marbles would be 24 marbles.
My Answer: Dan started with 24 marbles because he lost ½ on the first game then on the 2nd game he won 4. Then on the third game he won the same number which is ½ and 4. When you add the two 4’s that equals to 8. The 32 marbles he finished with minus 8 marbles would be 24 marbles.
I added 4+4 to get 8,then I took 32 marbles & subtracted 8 from it & i got 24 so i added 24+ 24 to get 48. so he lost have so that is 24. he won 8 so i added 24 & 8 to get 32.
My answer is: 48 marbles
The answer is 48 marbles. I got this answer by doing the math backwards. So I started with 32 marbles and sutracted 8 marbles from it. After that I divided the difference by 2 and I got 48 marbles.
The first thing I did was think about the problem, and I found out that you had to work the problem backwards, like if he gains one you have to subtract one. The next thing I did was divide 32 by 2 to get 16, The number he had at the beginning of the third game. After that I subtracted 4 from 16 to get 12, which was how much he had at the beginning of the second round. Finally, for the last step, I multiplied 12 times 2 and I got 24, the number of marbles he started with.
Dan started with 24 marbles.
He started with 24 marbles.
I wanted to guess and check so, I picked the number 24. He lost ½ of his marbles on the first game, so I did 24 divided by 2 and I got 12. He won 4 marbles at the end of the 2nd game, so I added 12+4=16. He won the same amount of marbles that he had at the end of the second game. So, I added 16+16=32.
How I found my answer was I tried different numbers till I got there and the correct marbles he started with was 24.That is correct because 24 in half is 12 plus 4 is 16 add another 16 and get 32 marbles total
In the first game Dan started with 24 marbles. Then, when he lost half, he had 12 plus the four that he won in the second game, which made 16. Then finally, he had 16 marbles at the end of game 3 and then added 16 and 16 together to get 32.
Answer: Dan started with 24 marbles.
first I cancelled out all the odd numbers because they can't be divided evenly. Then I guessed and checked until I got the right answer (24)
Dan started with 24marbles because one half of his marbles so it had to be even so he finished with thirty two so 24 plus 4is 28 plus another 4 because of the second game is 32
first I divided 32 marbles by 2 and got 16 so then I knew that by the 2nd game he had 16. Then subtracted 4 from 16 and got 12. last I multiplied 12 times 2 to get the answer 24 marbles that he started with .
First I subtracted 8 from 32 which is 24. Then I multiplied 24 times 2 which is 48. Dan started with 48 marbles.
Is Dan Losing His Marbles?
-3 games
-1st game-lost 1/2 of his marbles
-2nd game-won 4 marbles
-3rd game-won 4 marbles
-Ended with 32 marbles
-X=what he started with
Work:
- 4x2=8 marbles won after the 3rd and 2nd game
-32-8=24 marbles after the 1st game
-24x2=48 marbles when he started
Answer: Dan started playing marbles when he had _48_ marbles.
darren fisher
my answer is 48 marbles i dun 4-32= THE i got 28-4=24 x 2 = 48
I think the answer is 24 marbles he started with. I found this number by first dividing 32 by 2 and get 16. then I did 16 minus 4 because it has to equal 16 at the end of second game and he is going to gain those next and then have to double to get 32. so then you have to to do 12 times two and you get 24 to start.
Dan started with 48 marbles. I got 48 by working the problem backwards. 32-8=24+24=48
Dan started with 24 marbles
I know that because I made a table starting with 8, dividing by 2, then adding 4. I did that until I got 24 because 24 divided by 2 is 12, plus 4 is 16. And because he got the same number as he started with in his 3rd game, you just multiply by 2 to get 32.
To find how many marbles Dan started with,I began the problem with the amount of marbles he ended with.First I subtracted 8 marbles from 34 marbles[the 8because 4 marbles + 4 marbles = 8 marbles]and got 26 marbles.Then I took 26 marbles and doubled it and got 52 marbles.So Dan started with 52 marbles and ended with 34.
I know:
.finished with 32 marbles
.got 4 marbles in second and third game
.lost 2\1 on first game
32-4=28-4=24
24*2=48
48marbles
well at the end of the 2nd game he had as many marbles as won in the 3rd game and at the end of the 3rd game he had 32 so 32 divide by 2 is 16 and he won 4 marbles in the 2 game and so you have to subtract 4 from 16 witch is 12. he had 12 at the end of the 1st game and it said he lost half of his marbles in the 1st game so 12 x2 =24 so he started with 24.
The number of marbles that Dan started with is 24.
Hi everybody! I'm Lexy! I am
solving ' Is Dan Losing His Marbles?'
First I divided 32 by 2.
Second I subtracted 8 since they
had on the 2nd game earned
4marbles and on the 3rd game.
Third I checked my work and I got
32marbles again.
Forth and finally my answer is
8marbles!
First I divided 32 in ½ and got 16 then I added 4 plus 4 together and got 8 then for my final step I added that 8 to 16 and got 24 so… Dan had 24 marbles at the beginning of the game.
Hannah Kim Blog Response
32(end total) divided by 2= 16 ( end of 2nd game)
16= half of the start number plus 4.
16-4=12. 12 =half of the starting number of marbles. 12 x 2 = 24. 24 is the starting number of marbles.
it told me he ended up with 32 marbles and so i did 32 divided by 2 and got 16 then i sub. 4and got 12 and then i and added 12 + 12 and got 24 as my answer
sarah says- i got 24 for my answer because i knew i had to add game 2 twice for game 3 because it said he won 4 in game 2 and game 2 so i did game(g)2 +g 2 =32it had to equel 32 because that is what he ended with so game 2 must equal 16 and same for game 3 for what he had now he won 4 in game 2 so we subtract 16-4=12 for half of what he started with so we double the 12 to get 24.
This is most likely wrong....... :\
Oh well....
From a Broadway star:
I think that Dan started the game with 24 marbles. I think he started off with 24 marbles because half of 32 marbles (the # of marbles Dan ended up with) is 16 and the problem said that for the 3rd game he had the same # of marbles that he had after the 2nd game he had 4 marbles and 4X2=8 so 16 marbles+8 marbles= 24 marbles. Thanks for listening! Lol.
~Broadway star :P
i + the 2st and 3end game together becuase it says that the 3red game , he won the same amount as he did in the second which it was 4 marbles. and then added 8 to 1/2 becuase he lost 1/2 at first and what ever is left you subtracted by 32 marbles. so 8+1/2 = 8 1/2-32=
23 1/2
i + the 2st and 3end game together becuase it says that the 3red game , he won the same amount as he did in the second which it was 4 marbles. and then added 8 to 1/2 becuase he lost 1/2 at first and what ever is left you subtracted by 32 marbles. so 8+1/2 = 8 1/2-32=
23 1/2
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