PSLEAbi and Roshel went shopping together with a total amount of $97.20. Abi spent 2 times as much as Roshel. The amount Roshel had left was $30 more than what she had spent. She had 2 times as much money left as Abi.
(a) How much money did Roshel spend?
(b) How much money did Abi have at first?
|
Abi |
Roshel |
Total |
Before |
2.5 u + 15 |
2 u + 30 |
97.20 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 15 |
1 u + 30 |
|
(a)
Total amount that Abi and Roshel 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 = 97.2
4.5 u = 97.2 - 45
4.5 u = 52.2
1 u = 52.2 ÷ 4.5 = 11.6
Amount that Roshel had at first
= 1 u
= $11.60
(b)
Amount that Abi had at first
= 2.5 u + 15
= (2.5 x 11.6) + 15
= 29 + 15
= $44
Answer(s): (a) $11.60; (b) $44