Bryan and Cole went shopping with a total amount of $360. They had $288 left after shopping. Bryan's remaining money was 3 times the amount he paid for. Cole's remaining money was 5 times the amount he had spent.
- How much did Cole spend?
- How much did Cole bring along for shopping?
| |
Bryan |
Cole |
Total |
| Before |
4 u |
6 p |
360 |
| Change |
- 1 u |
- 1 p |
- 72 |
| After |
3 u |
5 p |
288 |
(a)
Amount that Bryan and Cole spent
= 360 - 288
= $72
Amount that Bryan and Cole spent
= 1 u + 1 p
1 u + 1 p = 72
1 u = 72 - 1 p --- (1)
Amount that Bryan and Cole had left
= 3 u + 5 p
3 u + 5 p = 288
3 u = 288 - 5 p --- (2)
Make u the same.
(1)
x 3 3 u = 216 - 3 p --- (3)
(3) = (2)
216 - 3 p = 288 - 5 p
5 p - 3 p = 288 - 216
2 p = 72
1 p = 72 ÷ 2 = 36
Amount that Cole spent = $36
(b)
Amount that Cole brought along
= 6 p
= 6 x 36
= $216
Answer(s): (a) $36; (b) $216
