Jack and Flynn went shopping with a total amount of $504. They had $432 left after shopping. Jack's remaining money was 5 times the amount he paid for. Flynn's remaining money was 7 times the amount he had spent.
- How much did Flynn spend?
- How much did Flynn bring along for shopping?
| |
Jack |
Flynn |
Total |
| Before |
6 u |
8 p |
504 |
| Change |
- 1 u |
- 1 p |
- 72 |
| After |
5 u |
7 p |
432 |
(a)
Amount that Jack and Flynn spent
= 504 - 432
= $72
Amount that Jack and Flynn spent
= 1 u + 1 p
1 u + 1 p = 72
1 u = 72 - 1 p --- (1)
Amount that Jack and Flynn had left
= 5 u + 7 p
5 u + 7 p = 432
5 u = 432 - 7 p --- (2)
Make u the same.
(1)
x 5 5 u = 360 - 5 p --- (3)
(3) = (2)
360 - 5 p = 432 - 7 p
7 p - 5 p = 432 - 360
2 p = 72
1 p = 72 ÷ 2 = 36
Amount that Flynn spent = $36
(b)
Amount that Flynn brought along
= 8 p
= 8 x 36
= $288
Answer(s): (a) $36; (b) $288
