PSLERachel and Winnie went shopping together with a total amount of $120.60. Rachel spent 2 times as much as Winnie. The amount Winnie had left was $24 more than what she had spent. She had 2 times as much money left as Rachel.
(a) How much money did Winnie spend?
(b) How much money did Rachel have at first?
|
Rachel |
Winnie |
Total |
Before |
2.5 u + 12 |
2 u + 24 |
120.60 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 12 |
1 u + 24 |
|
(a)
Total amount that Rachel and Winnie had at first
= (2.5 u + 12) + (2 u + 24)
= 2.5 u + 2 u + 12 + 24
= 4.5 u + 36
4.5 u + 36 = 120.6
4.5 u = 120.6 - 36
4.5 u = 84.6
1 u = 84.6 ÷ 4.5 = 18.8
Amount that Winnie had at first
= 1 u
= $18.80
(b)
Amount that Rachel had at first
= 2.5 u + 12
= (2.5 x 18.8) + 12
= 47 + 12
= $59
Answer(s): (a) $18.80; (b) $59