Will and Wesley had 79 stickers in total. Will had 27 stickers less than Wesley at first. After Will and Wesley played a game with Xandra, Will had
25 as many stickers as Wesley. If Will lost as many stickers as Wesley to Xandra, find the number of stickers that Wesley lost to Xandra.
|
Will |
Wesley |
Difference |
Before |
1 u |
1 u + 27 |
27 |
Change |
- ? |
- ? |
|
After |
2 p |
5 p |
3 p |
Total number of stickers at first
= 1 u + 1 u + 27
= 2 u + 27
2 u + 27 = 79
2 u = 79 - 27
2 u = 52
1 u = 52 ÷ 2 = 26
Since Will lost the same number of stickers as Wesley, the difference in the number of stickers between Will and Wesley at first and in the end remains the same.
Difference in the number of stickers in the end
= 5 p - 2 p
= 3 p
3 p = 27
1 p = 27 ÷ 3 = 9
Number of stickers that Will lost to Xandra
= 1 u - 2 p
= 26 - 2 x 9
= 26 - 18
= 8
Since Wesley lost the same number of stickers as Will, the number of stickers that each lost to Xandra is the same.
Number of stickers that Wesley lost = 8
Answer(s): 8