Asher and Wesley had 58 stickers in total. Asher had 8 stickers less than Wesley at first. After Asher and Wesley played a game with Penelope, Asher had
35 as many stickers as Wesley. If Asher lost as many stickers as Wesley to Penelope, find the number of stickers that Wesley lost to Penelope.
|
Asher |
Wesley |
Difference |
Before |
1 u |
1 u + 8 |
8 |
Change |
- ? |
- ? |
|
After |
3 p |
5 p |
2 p |
Total number of stickers at first
= 1 u + 1 u + 8
= 2 u + 8
2 u + 8 = 58
2 u = 58 - 8
2 u = 50
1 u = 50 ÷ 2 = 25
Since Asher lost the same number of stickers as Wesley, the difference in the number of stickers between Asher and Wesley at first and in the end remains the same.
Difference in the number of stickers in the end
= 5 p - 3 p
= 2 p
2 p = 8
1 p = 8 ÷ 2 = 4
Number of stickers that Asher lost to Penelope
= 1 u - 3 p
= 25 - 3 x 4
= 25 - 12
= 13
Since Wesley lost the same number of stickers as Asher, the number of stickers that each lost to Penelope is the same.
Number of stickers that Wesley lost = 13
Answer(s): 13