Vincent and Jeremy had 54 stickers in total. Vincent had 10 stickers less than Jeremy at first. After Vincent and Jeremy played a game with Nora, Vincent had
27 as many stickers as Jeremy. If Vincent lost as many stickers as Jeremy to Nora, find the number of stickers that Jeremy lost to Nora.
|
Vincent |
Jeremy |
Difference |
Before |
1 u |
1 u + 10 |
10 |
Change |
- ? |
- ? |
|
After |
2 p |
7 p |
5 p |
Total number of stickers at first
= 1 u + 1 u + 10
= 2 u + 10
2 u + 10 = 54
2 u = 54 - 10
2 u = 44
1 u = 44 ÷ 2 = 22
Since Vincent lost the same number of stickers as Jeremy, the difference in the number of stickers between Vincent and Jeremy at first and in the end remains the same.
Difference in the number of stickers in the end
= 7 p - 2 p
= 5 p
5 p = 10
1 p = 10 ÷ 5 = 2
Number of stickers that Vincent lost to Nora
= 1 u - 2 p
= 22 - 2 x 2
= 22 - 4
= 18
Since Jeremy lost the same number of stickers as Vincent, the number of stickers that each lost to Nora is the same.
Number of stickers that Jeremy lost = 18
Answer(s): 18