Wesley and Sean went shopping with a total amount of $187. They had $153 left after shopping. Wesley's remaining money was 3 times the amount he paid for. Sean's remaining money was 6 times the amount he had spent.
- How much did Sean spend?
- How much did Sean bring along for shopping?
| |
Wesley |
Sean |
Total |
| Before |
4 u |
7 p |
187 |
| Change |
- 1 u |
- 1 p |
- 34 |
| After |
3 u |
6 p |
153 |
(a)
Amount that Wesley and Sean spent
= 187 - 153
= $34
Amount that Wesley and Sean spent
= 1 u + 1 p
1 u + 1 p = 34
1 u = 34 - 1 p --- (1)
Amount that Wesley and Sean had left
= 3 u + 6 p
3 u + 6 p = 153
3 u = 153 - 6 p --- (2)
Make u the same.
(1)
x 3 3 u = 102 - 3 p --- (3)
(3) = (2)
102 - 3 p = 153 - 6 p
6 p - 3 p = 153 - 102
3 p = 51
1 p = 51 ÷ 3 = 17
Amount that Sean spent = $17
(b)
Amount that Sean brought along
= 7 p
= 7 x 17
= $119
Answer(s): (a) $17; (b) $119
