Jeremy and Seth had 54 stickers in total. Jeremy had 8 stickers less than Seth at first. After Jeremy and Seth played a game with Pamela, Jeremy had
35 as many stickers as Seth. If Jeremy lost as many stickers as Seth to Pamela, find the number of stickers that Seth lost to Pamela.
|
Jeremy |
Seth |
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 = 54
2 u = 54 - 8
2 u = 46
1 u = 46 ÷ 2 = 23
Since Jeremy lost the same number of stickers as Seth, the difference in the number of stickers between Jeremy and Seth 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 Jeremy lost to Pamela
= 1 u - 3 p
= 23 - 3 x 4
= 23 - 12
= 11
Since Seth lost the same number of stickers as Jeremy, the number of stickers that each lost to Pamela is the same.
Number of stickers that Seth lost = 11
Answer(s): 11