Will and Glen had 162 stickers in total. Will had 110 stickers less than Glen at first. After Will and Glen played a game with Jean, Will had
111 as many stickers as Glen. If Will lost as many stickers as Glen to Jean, find the number of stickers that Glen lost to Jean.
|
Will |
Glen |
Difference |
Before |
1 u |
1 u + 110 |
110 |
Change |
- ? |
- ? |
|
After |
1 p |
11 p |
10 p |
Total number of stickers at first
= 1 u + 1 u + 110
= 2 u + 110
2 u + 110 = 162
2 u = 162 - 110
2 u = 52
1 u = 52 ÷ 2 = 26
Since Will lost the same number of stickers as Glen, the difference in the number of stickers between Will and Glen at first and in the end remains the same.
Difference in the number of stickers in the end
= 11 p - 1 p
= 10 p
10 p = 110
1 p = 110 ÷ 10 = 11
Number of stickers that Will lost to Jean
= 1 u - 1 p
= 26 - 1 x 11
= 26 - 11
= 15
Since Glen lost the same number of stickers as Will, the number of stickers that each lost to Jean is the same.
Number of stickers that Glen lost = 15
Answer(s): 15