PSLEMin and Linda went shopping together with a total amount of $79.20. Min spent 2 times as much as Linda. The amount Linda had left was $12 more than what she had spent. She had 2 times as much money left as Min.
(a) How much money did Linda spend?
(b) How much money did Min have at first?
|
Min |
Linda |
Total |
Before |
2.5 u + 6 |
2 u + 12 |
79.20 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 6 |
1 u + 12 |
|
(a)
Total amount that Min and Linda had at first
= (2.5 u + 6) + (2 u + 12)
= 2.5 u + 2 u + 6 + 12
= 4.5 u + 18
4.5 u + 18 = 79.2
4.5 u = 79.2 - 18
4.5 u = 61.2
1 u = 61.2 ÷ 4.5 = 13.6
Amount that Linda had at first
= 1 u
= $13.60
(b)
Amount that Min had at first
= 2.5 u + 6
= (2.5 x 13.6) + 6
= 34 + 6
= $40
Answer(s): (a) $13.60; (b) $40