PSLECathy and Irene went shopping together with a total amount of $94.20. Cathy spent 2 times as much as Irene. The amount Irene had left was $25 more than what she had spent. She had 2 times as much money left as Cathy.
(a) How much money did Irene spend?
(b) How much money did Cathy have at first?
|
Cathy |
Irene |
Total |
Before |
2.5 u + 12.5 |
2 u + 25 |
94.20 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 12.5 |
1 u + 25 |
|
(a)
Total amount that Cathy and Irene had at first
= (2.5 u + 12.5) + (2 u + 25)
= 2.5 u + 2 u + 12.5 + 25
= 4.5 u + 37.5
4.5 u + 37.5 = 94.2
4.5 u = 94.2 - 37.5
4.5 u = 56.7
1 u = 56.7 ÷ 4.5 = 12.6
Amount that Irene had at first
= 1 u
= $12.60
(b)
Amount that Cathy had at first
= 2.5 u + 12.5
= (2.5 x 12.6) + 12.5
= 31.5 + 12.5
= $44
Answer(s): (a) $12.60; (b) $44