Ahmad and Tim had 83 stickers in total. Tim had 27 stickers more than Ahmad at first. After Ahmad and Tim played a game with Yen, Ahmad had
14 as many stickers as Tim. If Ahmad lost as many stickers as Tim to Yen, find the number of stickers that Ahmad lost to Yen.
|
Ahmad |
Tim |
Difference |
Before |
1 u |
1 u + 27 |
27 |
Change |
- ? |
- ? |
|
After |
1 p |
4 p |
3 p |
Total number of stickers at first
= 1 u + 1 u + 27
= 2 u + 27
2 u + 27 = 83
2 u = 83 - 27
2 u = 56
1 u = 56 ÷ 2 = 28
Since Ahmad lost the same number of stickers as Tim, the difference in the number of stickers between Ahmad and Tim 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 = 27
1 p = 27 ÷ 3 = 9
Number of stickers that Ahmad lost to Yen
= 1 u - 1 p
= 28 - 1 x 9
= 28 - 9
= 19
Answer(s): 19