PSLEJoelle and Lucy went shopping together with a total amount of $72.60. Joelle spent 2 times as much as Lucy. The amount Lucy had left was $10 more than what she had spent. She had 2 times as much money left as Joelle.
(a) How much money did Lucy spend?
(b) How much money did Joelle have at first?
|
Joelle |
Lucy |
Total |
Before |
2.5 u + 5 |
2 u + 10 |
72.60 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 5 |
1 u + 10 |
|
(a)
Total amount that Joelle and Lucy had at first
= (2.5 u + 5) + (2 u + 10)
= 2.5 u + 2 u + 5 + 10
= 4.5 u + 15
4.5 u + 15 = 72.6
4.5 u = 72.6 - 15
4.5 u = 57.6
1 u = 57.6 ÷ 4.5 = 12.8
Amount that Lucy had at first
= 1 u
= $12.80
(b)
Amount that Joelle had at first
= 2.5 u + 5
= (2.5 x 12.8) + 5
= 32 + 5
= $37
Answer(s): (a) $12.80; (b) $37