Daniel and Owen went shopping with a total amount of $341. They had $279 left after shopping. Daniel's remaining money was 3 times the amount he paid for. Owen's remaining money was 6 times the amount he had spent.
- How much did Owen spend?
- How much did Owen bring along for shopping?
| |
Daniel |
Owen |
Total |
| Before |
4 u |
7 p |
341 |
| Change |
- 1 u |
- 1 p |
- 62 |
| After |
3 u |
6 p |
279 |
(a)
Amount that Daniel and Owen spent
= 341 - 279
= $62
Amount that Daniel and Owen spent
= 1 u + 1 p
1 u + 1 p = 62
1 u = 62 - 1 p --- (1)
Amount that Daniel and Owen had left
= 3 u + 6 p
3 u + 6 p = 279
3 u = 279 - 6 p --- (2)
Make u the same.
(1)
x 3 3 u = 186 - 3 p --- (3)
(3) = (2)
186 - 3 p = 279 - 6 p
6 p - 3 p = 279 - 186
3 p = 93
1 p = 93 ÷ 3 = 31
Amount that Owen spent = $31
(b)
Amount that Owen brought along
= 7 p
= 7 x 31
= $217
Answer(s): (a) $31; (b) $217
