Zeph and Andy went shopping with a total amount of $350. They had $300 left after shopping. Zeph's remaining money was 5 times the amount he paid for. Andy's remaining money was 7 times the amount he had spent.
- How much did Andy spend?
- How much did Andy bring along for shopping?
| |
Zeph |
Andy |
Total |
| Before |
6 u |
8 p |
350 |
| Change |
- 1 u |
- 1 p |
- 50 |
| After |
5 u |
7 p |
300 |
(a)
Amount that Zeph and Andy spent
= 350 - 300
= $50
Amount that Zeph and Andy spent
= 1 u + 1 p
1 u + 1 p = 50
1 u = 50 - 1 p --- (1)
Amount that Zeph and Andy had left
= 5 u + 7 p
5 u + 7 p = 300
5 u = 300 - 7 p --- (2)
Make u the same.
(1)
x 5 5 u = 250 - 5 p --- (3)
(3) = (2)
250 - 5 p = 300 - 7 p
7 p - 5 p = 300 - 250
2 p = 50
1 p = 50 ÷ 2 = 25
Amount that Andy spent = $25
(b)
Amount that Andy brought along
= 8 p
= 8 x 25
= $200
Answer(s): (a) $25; (b) $200
