Mark and Dylan went shopping with a total amount of $434. They had $372 left after shopping. Mark's remaining money was 5 times the amount he paid for. Dylan's remaining money was 7 times the amount he had spent.
- How much did Dylan spend?
- How much did Dylan bring along for shopping?
| |
Mark |
Dylan |
Total |
| Before |
6 u |
8 p |
434 |
| Change |
- 1 u |
- 1 p |
- 62 |
| After |
5 u |
7 p |
372 |
(a)
Amount that Mark and Dylan spent
= 434 - 372
= $62
Amount that Mark and Dylan spent
= 1 u + 1 p
1 u + 1 p = 62
1 u = 62 - 1 p --- (1)
Amount that Mark and Dylan had left
= 5 u + 7 p
5 u + 7 p = 372
5 u = 372 - 7 p --- (2)
Make u the same.
(1)
x 5 5 u = 310 - 5 p --- (3)
(3) = (2)
310 - 5 p = 372 - 7 p
7 p - 5 p = 372 - 310
2 p = 62
1 p = 62 ÷ 2 = 31
Amount that Dylan spent = $31
(b)
Amount that Dylan brought along
= 8 p
= 8 x 31
= $248
Answer(s): (a) $31; (b) $248
