PSLECindy and Betty went shopping together with a total amount of $133.20. Cindy spent 2 times as much as Betty. The amount Betty had left was $30 more than what she had spent. She had 2 times as much money left as Cindy.
(a) How much money did Betty spend?
(b) How much money did Cindy have at first?
|
Cindy |
Betty |
Total |
Before |
2.5 u + 15 |
2 u + 30 |
133.20 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 15 |
1 u + 30 |
|
(a)
Total amount that Cindy and Betty had at first
= (2.5 u + 15) + (2 u + 30)
= 2.5 u + 2 u + 15 + 30
= 4.5 u + 45
4.5 u + 45 = 133.2
4.5 u = 133.2 - 45
4.5 u = 88.2
1 u = 88.2 ÷ 4.5 = 19.6
Amount that Betty had at first
= 1 u
= $19.60
(b)
Amount that Cindy had at first
= 2.5 u + 15
= (2.5 x 19.6) + 15
= 49 + 15
= $64
Answer(s): (a) $19.60; (b) $64