Caden and Jeremy had 74 stickers in total. Jeremy had 16 stickers more than Caden at first. After Caden and Jeremy played a game with Anna, Caden had
311 as many stickers as Jeremy. If Caden lost as many stickers as Jeremy to Anna, find the number of stickers that Caden lost to Anna.
|
Caden |
Jeremy |
Difference |
Before |
1 u |
1 u + 16 |
16 |
Change |
- ? |
- ? |
|
After |
3 p |
11 p |
8 p |
Total number of stickers at first
= 1 u + 1 u + 16
= 2 u + 16
2 u + 16 = 74
2 u = 74 - 16
2 u = 58
1 u = 58 ÷ 2 = 29
Since Caden lost the same number of stickers as Jeremy, the difference in the number of stickers between Caden and Jeremy at first and in the end remains the same.
Difference in the number of stickers in the end
= 11 p - 3 p
= 8 p
8 p = 16
1 p = 16 ÷ 8 = 2
Number of stickers that Caden lost to Anna
= 1 u - 3 p
= 29 - 3 x 2
= 29 - 6
= 23
Answer(s): 23