PSLEJean and Lucy went shopping together with a total amount of $93.60. Jean spent 2 times as much as Lucy. The amount Lucy had left was $18 more than what she had spent. She had 2 times as much money left as Jean.
(a) How much money did Lucy spend?
(b) How much money did Jean have at first?
|
Jean |
Lucy |
Total |
Before |
2.5 u + 9 |
2 u + 18 |
93.60 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 9 |
1 u + 18 |
|
(a)
Total amount that Jean and Lucy had at first
= (2.5 u + 9) + (2 u + 18)
= 2.5 u + 2 u + 9 + 18
= 4.5 u + 27
4.5 u + 27 = 93.6
4.5 u = 93.6 - 27
4.5 u = 66.6
1 u = 66.6 ÷ 4.5 = 14.8
Amount that Lucy had at first
= 1 u
= $14.80
(b)
Amount that Jean had at first
= 2.5 u + 9
= (2.5 x 14.8) + 9
= 37 + 9
= $46
Answer(s): (a) $14.80; (b) $46