PSLECindy and Min went shopping together with a total amount of $118.20. Cindy spent 2 times as much as Min. The amount Min had left was $23 more than what she had spent. She had 2 times as much money left as Cindy.
(a) How much money did Min spend?
(b) How much money did Cindy have at first?
|
Cindy |
Min |
Total |
Before |
2.5 u + 11.5 |
2 u + 23 |
118.20 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 11.5 |
1 u + 23 |
|
(a)
Total amount that Cindy and Min had at first
= (2.5 u + 11.5) + (2 u + 23)
= 2.5 u + 2 u + 11.5 + 23
= 4.5 u + 34.5
4.5 u + 34.5 = 118.2
4.5 u = 118.2 - 34.5
4.5 u = 83.7
1 u = 83.7 ÷ 4.5 = 18.6
Amount that Min had at first
= 1 u
= $18.60
(b)
Amount that Cindy had at first
= 2.5 u + 11.5
= (2.5 x 18.6) + 11.5
= 46.5 + 11.5
= $58
Answer(s): (a) $18.60; (b) $58