PSLEJulie and Marion went shopping together with a total amount of $104.40. Julie spent 2 times as much as Marion. The amount Marion had left was $36 more than what she had spent. She had 2 times as much money left as Julie.
(a) How much money did Marion spend?
(b) How much money did Julie have at first?
|
Julie |
Marion |
Total |
Before |
2.5 u + 18 |
2 u + 36 |
104.40 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 18 |
1 u + 36 |
|
(a)
Total amount that Julie and Marion had at first
= (2.5 u + 18) + (2 u + 36)
= 2.5 u + 2 u + 18 + 36
= 4.5 u + 54
4.5 u + 54 = 104.4
4.5 u = 104.4 - 54
4.5 u = 50.4
1 u = 50.4 ÷ 4.5 = 11.2
Amount that Marion had at first
= 1 u
= $11.20
(b)
Amount that Julie had at first
= 2.5 u + 18
= (2.5 x 11.2) + 18
= 28 + 18
= $46
Answer(s): (a) $11.20; (b) $46