PSLERoshel and Barbara went shopping together with a total amount of $113.40. Roshel spent 2 times as much as Barbara. The amount Barbara had left was $24 more than what she had spent. She had 2 times as much money left as Roshel.
(a) How much money did Barbara spend?
(b) How much money did Roshel have at first?
|
Roshel |
Barbara |
Total |
Before |
2.5 u + 12 |
2 u + 24 |
113.40 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 12 |
1 u + 24 |
|
(a)
Total amount that Roshel and Barbara 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 = 113.4
4.5 u = 113.4 - 36
4.5 u = 77.4
1 u = 77.4 ÷ 4.5 = 17.2
Amount that Barbara had at first
= 1 u
= $17.20
(b)
Amount that Roshel had at first
= 2.5 u + 12
= (2.5 x 17.2) + 12
= 43 + 12
= $55
Answer(s): (a) $17.20; (b) $55