Owen and Carl went shopping with a total amount of $260. They had $208 left after shopping. Owen's remaining money was 3 times the amount he paid for. Carl's remaining money was 5 times the amount he had spent.
- How much did Carl spend?
- How much did Carl bring along for shopping?
| |
Owen |
Carl |
Total |
| Before |
4 u |
6 p |
260 |
| Change |
- 1 u |
- 1 p |
- 52 |
| After |
3 u |
5 p |
208 |
(a)
Amount that Owen and Carl spent
= 260 - 208
= $52
Amount that Owen and Carl spent
= 1 u + 1 p
1 u + 1 p = 52
1 u = 52 - 1 p --- (1)
Amount that Owen and Carl had left
= 3 u + 5 p
3 u + 5 p = 208
3 u = 208 - 5 p --- (2)
Make u the same.
(1)
x 3 3 u = 156 - 3 p --- (3)
(3) = (2)
156 - 3 p = 208 - 5 p
5 p - 3 p = 208 - 156
2 p = 52
1 p = 52 ÷ 2 = 26
Amount that Carl spent = $26
(b)
Amount that Carl brought along
= 6 p
= 6 x 26
= $156
Answer(s): (a) $26; (b) $156
