Glen and Justin had 122 stickers in total. Justin had 60 stickers more than Glen at first. After Glen and Justin played a game with Jaslyn, Glen had
16 as many stickers as Justin. If Glen lost as many stickers as Justin to Jaslyn, find the number of stickers that Glen lost to Jaslyn.
|
Glen |
Justin |
Difference |
Before |
1 u |
1 u + 60 |
60 |
Change |
- ? |
- ? |
|
After |
1 p |
6 p |
5 p |
Total number of stickers at first
= 1 u + 1 u + 60
= 2 u + 60
2 u + 60 = 122
2 u = 122 - 60
2 u = 62
1 u = 62 ÷ 2 = 31
Since Glen lost the same number of stickers as Justin, the difference in the number of stickers between Glen and Justin at first and in the end remains the same.
Difference in the number of stickers in the end
= 6 p - 1 p
= 5 p
5 p = 60
1 p = 60 ÷ 5 = 12
Number of stickers that Glen lost to Jaslyn
= 1 u - 1 p
= 31 - 1 x 12
= 31 - 12
= 19
Answer(s): 19