Gabriel and Simon had 66 stickers in total. Gabriel had 18 stickers less than Simon at first. After Gabriel and Simon played a game with Tiffany, Gabriel had
110 as many stickers as Simon. If Gabriel lost as many stickers as Simon to Tiffany, find the number of stickers that Simon lost to Tiffany.
|
Gabriel |
Simon |
Difference |
Before |
1 u |
1 u + 18 |
18 |
Change |
- ? |
- ? |
|
After |
1 p |
10 p |
9 p |
Total number of stickers at first
= 1 u + 1 u + 18
= 2 u + 18
2 u + 18 = 66
2 u = 66 - 18
2 u = 48
1 u = 48 ÷ 2 = 24
Since Gabriel lost the same number of stickers as Simon, the difference in the number of stickers between Gabriel and Simon at first and in the end remains the same.
Difference in the number of stickers in the end
= 10 p - 1 p
= 9 p
9 p = 18
1 p = 18 ÷ 9 = 2
Number of stickers that Gabriel lost to Tiffany
= 1 u - 1 p
= 24 - 1 x 2
= 24 - 2
= 22
Since Simon lost the same number of stickers as Gabriel, the number of stickers that each lost to Tiffany is the same.
Number of stickers that Simon lost = 22
Answer(s): 22