Cole and Ben went shopping with a total amount of $440. They had $360 left after shopping. Cole's remaining money was 3 times the amount he paid for. Ben's remaining money was 6 times the amount he had spent.
- How much did Ben spend?
- How much did Ben bring along for shopping?
| |
Cole |
Ben |
Total |
| Before |
4 u |
7 p |
440 |
| Change |
- 1 u |
- 1 p |
- 80 |
| After |
3 u |
6 p |
360 |
(a)
Amount that Cole and Ben spent
= 440 - 360
= $80
Amount that Cole and Ben spent
= 1 u + 1 p
1 u + 1 p = 80
1 u = 80 - 1 p --- (1)
Amount that Cole and Ben had left
= 3 u + 6 p
3 u + 6 p = 360
3 u = 360 - 6 p --- (2)
Make u the same.
(1)
x 3 3 u = 240 - 3 p --- (3)
(3) = (2)
240 - 3 p = 360 - 6 p
6 p - 3 p = 360 - 240
3 p = 120
1 p = 120 ÷ 3 = 40
Amount that Ben spent = $40
(b)
Amount that Ben brought along
= 7 p
= 7 x 40
= $280
Answer(s): (a) $40; (b) $280
