Jack, Will and Paul had a total of 123 stickers. The ratio of the number of stickers that Will had to the number of stickers that Paul had was 4 : 7. After Jack and Will each gave away half of their stickers, the 3 children had 93 stickers left. How many stickers did Will and Paul have in the end?
| |
Jack |
Will |
Paul |
Total |
| Before |
2 p |
4 u |
7 u |
123 |
| Change |
- 1 p |
- 2 u |
|
- 30 |
| After |
1 p |
2 u |
7 u |
93 |
Total number of stickers that Jack and Will gave away
= 123 - 93
= 30
1 p + 2 u = 30 --- (1)
1 p + 2 u + 7 u = 93
1 p + 9 u = 93 --- (2)
(2) - (1)
(1 p + 9 u) - (1 p + 2 u) = 93 - 30
9 u - 2 u = 63
7 u = 63
1 u = 63 ÷ 7 = 9
Total number of stickers that Will and Paul had in the end
= 2 u + 7 u
= 9 u
= 9 x 9
= 81
Answer(s): 81
