Will and Nick went shopping with a total amount of $390. They had $312 left after shopping. Will's remaining money was 3 times the amount he paid for. Nick's remaining money was 5 times the amount he had spent.
- How much did Nick spend?
- How much did Nick bring along for shopping?
| |
Will |
Nick |
Total |
| Before |
4 u |
6 p |
390 |
| Change |
- 1 u |
- 1 p |
- 78 |
| After |
3 u |
5 p |
312 |
(a)
Amount that Will and Nick spent
= 390 - 312
= $78
Amount that Will and Nick spent
= 1 u + 1 p
1 u + 1 p = 78
1 u = 78 - 1 p --- (1)
Amount that Will and Nick had left
= 3 u + 5 p
3 u + 5 p = 312
3 u = 312 - 5 p --- (2)
Make u the same.
(1)
x 3 3 u = 234 - 3 p --- (3)
(3) = (2)
234 - 3 p = 312 - 5 p
5 p - 3 p = 312 - 234
2 p = 78
1 p = 78 ÷ 2 = 39
Amount that Nick spent = $39
(b)
Amount that Nick brought along
= 6 p
= 6 x 39
= $234
Answer(s): (a) $39; (b) $234
