Pierre and Sean had 46 stickers in total. Sean had 12 stickers more than Pierre at first. After Pierre and Sean played a game with Roshel, Pierre had
14 as many stickers as Sean. If Pierre lost as many stickers as Sean to Roshel, find the number of stickers that Pierre lost to Roshel.
|
Pierre |
Sean |
Difference |
Before |
1 u |
1 u + 12 |
12 |
Change |
- ? |
- ? |
|
After |
1 p |
4 p |
3 p |
Total number of stickers at first
= 1 u + 1 u + 12
= 2 u + 12
2 u + 12 = 46
2 u = 46 - 12
2 u = 34
1 u = 34 ÷ 2 = 17
Since Pierre lost the same number of stickers as Sean, the difference in the number of stickers between Pierre and Sean at first and in the end remains the same.
Difference in the number of stickers in the end
= 4 p - 1 p
= 3 p
3 p = 12
1 p = 12 ÷ 3 = 4
Number of stickers that Pierre lost to Roshel
= 1 u - 1 p
= 17 - 1 x 4
= 17 - 4
= 13
Answer(s): 13