PSLEKathy and Joelle went shopping together with a total amount of $87.60. Kathy spent 2 times as much as Joelle. The amount Joelle had left was $26 more than what she had spent. She had 2 times as much money left as Kathy.
(a) How much money did Joelle spend?
(b) How much money did Kathy have at first?
|
Kathy |
Joelle |
Total |
Before |
2.5 u + 13 |
2 u + 26 |
87.60 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 13 |
1 u + 26 |
|
(a)
Total amount that Kathy and Joelle had at first
= (2.5 u + 13) + (2 u + 26)
= 2.5 u + 2 u + 13 + 26
= 4.5 u + 39
4.5 u + 39 = 87.6
4.5 u = 87.6 - 39
4.5 u = 48.6
1 u = 48.6 ÷ 4.5 = 10.8
Amount that Joelle had at first
= 1 u
= $10.80
(b)
Amount that Kathy had at first
= 2.5 u + 13
= (2.5 x 10.8) + 13
= 27 + 13
= $40
Answer(s): (a) $10.80; (b) $40