Jeremy and Ivan had 76 stickers in total. Ivan had 14 stickers more than Jeremy at first. After Jeremy and Ivan played a game with Zoe, Jeremy had
13 as many stickers as Ivan. If Jeremy lost as many stickers as Ivan to Zoe, find the number of stickers that Jeremy lost to Zoe.
|
Jeremy |
Ivan |
Difference |
Before |
1 u |
1 u + 14 |
14 |
Change |
- ? |
- ? |
|
After |
1 p |
3 p |
2 p |
Total number of stickers at first
= 1 u + 1 u + 14
= 2 u + 14
2 u + 14 = 76
2 u = 76 - 14
2 u = 62
1 u = 62 ÷ 2 = 31
Since Jeremy lost the same number of stickers as Ivan, the difference in the number of stickers between Jeremy and Ivan at first and in the end remains the same.
Difference in the number of stickers in the end
= 3 p - 1 p
= 2 p
2 p = 14
1 p = 14 ÷ 2 = 7
Number of stickers that Jeremy lost to Zoe
= 1 u - 1 p
= 31 - 1 x 7
= 31 - 7
= 24
Answer(s): 24