Dylan and Glen had 70 stickers in total. Glen had 8 stickers more than Dylan at first. After Dylan and Glen played a game with Linda, Dylan had
37 as many stickers as Glen. If Dylan lost as many stickers as Glen to Linda, find the number of stickers that Dylan lost to Linda.
|
Dylan |
Glen |
Difference |
Before |
1 u |
1 u + 8 |
8 |
Change |
- ? |
- ? |
|
After |
3 p |
7 p |
4 p |
Total number of stickers at first
= 1 u + 1 u + 8
= 2 u + 8
2 u + 8 = 70
2 u = 70 - 8
2 u = 62
1 u = 62 ÷ 2 = 31
Since Dylan lost the same number of stickers as Glen, the difference in the number of stickers between Dylan and Glen at first and in the end remains the same.
Difference in the number of stickers in the end
= 7 p - 3 p
= 4 p
4 p = 8
1 p = 8 ÷ 4 = 2
Number of stickers that Dylan lost to Linda
= 1 u - 3 p
= 31 - 3 x 2
= 31 - 6
= 25
Answer(s): 25