Asher and Japheth had 76 stickers in total. Asher had 36 stickers less than Japheth at first. After Asher and Japheth played a game with Jaslyn, Asher had
15 as many stickers as Japheth. If Asher lost as many stickers as Japheth to Jaslyn, find the number of stickers that Japheth lost to Jaslyn.
|
Asher |
Japheth |
Difference |
Before |
1 u |
1 u + 36 |
36 |
Change |
- ? |
- ? |
|
After |
1 p |
5 p |
4 p |
Total number of stickers at first
= 1 u + 1 u + 36
= 2 u + 36
2 u + 36 = 76
2 u = 76 - 36
2 u = 40
1 u = 40 ÷ 2 = 20
Since Asher lost the same number of stickers as Japheth, the difference in the number of stickers between Asher and Japheth at first and in the end remains the same.
Difference in the number of stickers in the end
= 5 p - 1 p
= 4 p
4 p = 36
1 p = 36 ÷ 4 = 9
Number of stickers that Asher lost to Jaslyn
= 1 u - 1 p
= 20 - 1 x 9
= 20 - 9
= 11
Since Japheth lost the same number of stickers as Asher, the number of stickers that each lost to Jaslyn is the same.
Number of stickers that Japheth lost = 11
Answer(s): 11