PSLEElyse and Roshel went shopping together with a total amount of $104.40. Elyse spent 2 times as much as Roshel. The amount Roshel had left was $39 more than what she had spent. She had 2 times as much money left as Elyse.
(a) How much money did Roshel spend?
(b) How much money did Elyse have at first?
|
Elyse |
Roshel |
Total |
Before |
2.5 u + 19.5 |
2 u + 39 |
104.40 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 19.5 |
1 u + 39 |
|
(a)
Total amount that Elyse and Roshel had at first
= (2.5 u + 19.5) + (2 u + 39)
= 2.5 u + 2 u + 19.5 + 39
= 4.5 u + 58.5
4.5 u + 58.5 = 104.4
4.5 u = 104.4 - 58.5
4.5 u = 45.9
1 u = 45.9 ÷ 4.5 = 10.2
Amount that Roshel had at first
= 1 u
= $10.20
(b)
Amount that Elyse had at first
= 2.5 u + 19.5
= (2.5 x 10.2) + 19.5
= 25.5 + 19.5
= $45
Answer(s): (a) $10.20; (b) $45