Oliver and Bobby had 66 stickers in total. Oliver had 6 stickers less than Bobby at first. After Oliver and Bobby played a game with Fanny, Oliver had
25 as many stickers as Bobby. If Oliver lost as many stickers as Bobby to Fanny, find the number of stickers that Bobby lost to Fanny.
|
Oliver |
Bobby |
Difference |
Before |
1 u |
1 u + 6 |
6 |
Change |
- ? |
- ? |
|
After |
2 p |
5 p |
3 p |
Total number of stickers at first
= 1 u + 1 u + 6
= 2 u + 6
2 u + 6 = 66
2 u = 66 - 6
2 u = 60
1 u = 60 ÷ 2 = 30
Since Oliver lost the same number of stickers as Bobby, the difference in the number of stickers between Oliver and Bobby 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 = 6
1 p = 6 ÷ 3 = 2
Number of stickers that Oliver lost to Fanny
= 1 u - 2 p
= 30 - 2 x 2
= 30 - 4
= 26
Since Bobby lost the same number of stickers as Oliver, the number of stickers that each lost to Fanny is the same.
Number of stickers that Bobby lost = 26
Answer(s): 26