PSLEJulie and Jade went shopping together with a total amount of $106.20. Julie spent 2 times as much as Jade. The amount Jade 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 Jade spend?
(b) How much money did Julie have at first?
|
Julie |
Jade |
Total |
Before |
2.5 u + 18 |
2 u + 36 |
106.20 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 18 |
1 u + 36 |
|
(a)
Total amount that Julie and Jade 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 = 106.2
4.5 u = 106.2 - 54
4.5 u = 52.2
1 u = 52.2 ÷ 4.5 = 11.6
Amount that Jade had at first
= 1 u
= $11.60
(b)
Amount that Julie had at first
= 2.5 u + 18
= (2.5 x 11.6) + 18
= 29 + 18
= $47
Answer(s): (a) $11.60; (b) $47