PSLECindy and Yoko went shopping together with a total amount of $121.20. Cindy spent 2 times as much as Yoko. The amount Yoko had left was $28 more than what she had spent. She had 2 times as much money left as Cindy.
(a) How much money did Yoko spend?
(b) How much money did Cindy have at first?
|
Cindy |
Yoko |
Total |
Before |
2.5 u + 14 |
2 u + 28 |
121.20 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 14 |
1 u + 28 |
|
(a)
Total amount that Cindy and Yoko had at first
= (2.5 u + 14) + (2 u + 28)
= 2.5 u + 2 u + 14 + 28
= 4.5 u + 42
4.5 u + 42 = 121.2
4.5 u = 121.2 - 42
4.5 u = 79.2
1 u = 79.2 ÷ 4.5 = 17.6
Amount that Yoko had at first
= 1 u
= $17.60
(b)
Amount that Cindy had at first
= 2.5 u + 14
= (2.5 x 17.6) + 14
= 44 + 14
= $58
Answer(s): (a) $17.60; (b) $58