Jack and Billy had 67 stickers in total. Billy had 25 stickers more than Jack at first. After Jack and Billy played a game with Betty, Jack had
38 as many stickers as Billy. If Jack lost as many stickers as Billy to Betty, find the number of stickers that Jack lost to Betty.
|
Jack |
Billy |
Difference |
Before |
1 u |
1 u + 25 |
25 |
Change |
- ? |
- ? |
|
After |
3 p |
8 p |
5 p |
Total number of stickers at first
= 1 u + 1 u + 25
= 2 u + 25
2 u + 25 = 67
2 u = 67 - 25
2 u = 42
1 u = 42 ÷ 2 = 21
Since Jack lost the same number of stickers as Billy, the difference in the number of stickers between Jack and Billy at first and in the end remains the same.
Difference in the number of stickers in the end
= 8 p - 3 p
= 5 p
5 p = 25
1 p = 25 ÷ 5 = 5
Number of stickers that Jack lost to Betty
= 1 u - 3 p
= 21 - 3 x 5
= 21 - 15
= 6
Answer(s): 6