Jack and Ahmad had 59 stickers in total. Ahmad had 9 stickers more than Jack at first. After Jack and Ahmad played a game with Mary, Jack had
14 as many stickers as Ahmad. If Jack lost as many stickers as Ahmad to Mary, find the number of stickers that Jack lost to Mary.
|
Jack |
Ahmad |
Difference |
Before |
1 u |
1 u + 9 |
9 |
Change |
- ? |
- ? |
|
After |
1 p |
4 p |
3 p |
Total number of stickers at first
= 1 u + 1 u + 9
= 2 u + 9
2 u + 9 = 59
2 u = 59 - 9
2 u = 50
1 u = 50 ÷ 2 = 25
Since Jack lost the same number of stickers as Ahmad, the difference in the number of stickers between Jack and Ahmad at first and in the end remains the same.
Difference in the number of stickers in the end
= 4 p - 1 p
= 3 p
3 p = 9
1 p = 9 ÷ 3 = 3
Number of stickers that Jack lost to Mary
= 1 u - 1 p
= 25 - 1 x 3
= 25 - 3
= 22
Answer(s): 22