Asher and Perry went shopping with a total amount of $385. They had $315 left after shopping. Asher's remaining money was 3 times the amount he paid for. Perry's remaining money was 6 times the amount he had spent.
- How much did Perry spend?
- How much did Perry bring along for shopping?
|
Asher |
Perry |
Total |
Before |
4 u |
7 p |
385 |
Change |
- 1 u |
- 1 p |
- 70 |
After |
3 u |
6 p |
315 |
(a)
Amount that Asher and Perry spent
= 385 - 315
= $70
Amount that Asher and Perry spent
= 1 u + 1 p
1 u + 1 p = 70
1 u = 70 - 1 p --- (1)
Amount that Asher and Perry had left
= 3 u + 6 p
3 u + 6 p = 315
3 u = 315 - 6 p --- (2)
Make u the same.
(1)
x 3 3 u = 210 - 3 p --- (3)
(3) = (2)
210 - 3 p = 315 - 6 p
6 p - 3 p = 315 - 210
3 p = 105
1 p = 105 ÷ 3 = 35
Amount that Perry spent = $35
(b)
Amount that Perry brought along
= 7 p
= 7 x 35
= $245
Answer(s): (a) $35; (b) $245