PSLEJulie and Kimberly went shopping together with a total amount of $88.20. Julie spent 2 times as much as Kimberly. The amount Kimberly had left was $15 more than what she had spent. She had 2 times as much money left as Julie.
(a) How much money did Kimberly spend?
(b) How much money did Julie have at first?
|
Julie |
Kimberly |
Total |
Before |
2.5 u + 7.5 |
2 u + 15 |
88.20 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 7.5 |
1 u + 15 |
|
(a)
Total amount that Julie and Kimberly had at first
= (2.5 u + 7.5) + (2 u + 15)
= 2.5 u + 2 u + 7.5 + 15
= 4.5 u + 22.5
4.5 u + 22.5 = 88.2
4.5 u = 88.2 - 22.5
4.5 u = 65.7
1 u = 65.7 ÷ 4.5 = 14.6
Amount that Kimberly had at first
= 1 u
= $14.60
(b)
Amount that Julie had at first
= 2.5 u + 7.5
= (2.5 x 14.6) + 7.5
= 36.5 + 7.5
= $44
Answer(s): (a) $14.60; (b) $44