Ethan and Valen had 98 stickers in total. Valen had 28 stickers more than Ethan at first. After Ethan and Valen played a game with Tiffany, Ethan had
37 as many stickers as Valen. If Ethan lost as many stickers as Valen to Tiffany, find the number of stickers that Ethan lost to Tiffany.
|
Ethan |
Valen |
Difference |
Before |
1 u |
1 u + 28 |
28 |
Change |
- ? |
- ? |
|
After |
3 p |
7 p |
4 p |
Total number of stickers at first
= 1 u + 1 u + 28
= 2 u + 28
2 u + 28 = 98
2 u = 98 - 28
2 u = 70
1 u = 70 ÷ 2 = 35
Since Ethan lost the same number of stickers as Valen, the difference in the number of stickers between Ethan and Valen 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 = 28
1 p = 28 ÷ 4 = 7
Number of stickers that Ethan lost to Tiffany
= 1 u - 3 p
= 35 - 3 x 7
= 35 - 21
= 14
Answer(s): 14