Justin and Owen had 106 stickers in total. Owen had 36 stickers more than Justin at first. After Justin and Owen played a game with Jade, Justin had
37 as many stickers as Owen. If Justin lost as many stickers as Owen to Jade, find the number of stickers that Justin lost to Jade.
|
Justin |
Owen |
Difference |
Before |
1 u |
1 u + 36 |
36 |
Change |
- ? |
- ? |
|
After |
3 p |
7 p |
4 p |
Total number of stickers at first
= 1 u + 1 u + 36
= 2 u + 36
2 u + 36 = 106
2 u = 106 - 36
2 u = 70
1 u = 70 ÷ 2 = 35
Since Justin lost the same number of stickers as Owen, the difference in the number of stickers between Justin and Owen 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 = 36
1 p = 36 ÷ 4 = 9
Number of stickers that Justin lost to Jade
= 1 u - 3 p
= 35 - 3 x 9
= 35 - 27
= 8
Answer(s): 8