Mark and Sean went shopping with a total amount of $240. They had $192 left after shopping. Mark's remaining money was 3 times the amount he paid for. Sean's remaining money was 5 times the amount he had spent.
- How much did Sean spend?
- How much did Sean bring along for shopping?
| |
Mark |
Sean |
Total |
| Before |
4 u |
6 p |
240 |
| Change |
- 1 u |
- 1 p |
- 48 |
| After |
3 u |
5 p |
192 |
(a)
Amount that Mark and Sean spent
= 240 - 192
= $48
Amount that Mark and Sean spent
= 1 u + 1 p
1 u + 1 p = 48
1 u = 48 - 1 p --- (1)
Amount that Mark and Sean had left
= 3 u + 5 p
3 u + 5 p = 192
3 u = 192 - 5 p --- (2)
Make u the same.
(1)
x 3 3 u = 144 - 3 p --- (3)
(3) = (2)
144 - 3 p = 192 - 5 p
5 p - 3 p = 192 - 144
2 p = 48
1 p = 48 ÷ 2 = 24
Amount that Sean spent = $24
(b)
Amount that Sean brought along
= 6 p
= 6 x 24
= $144
Answer(s): (a) $24; (b) $144
