PSLELucy and Anna went shopping together with a total amount of $106.20. Lucy spent 2 times as much as Anna. The amount Anna had left was $39 more than what she had spent. She had 2 times as much money left as Lucy.
(a) How much money did Anna spend?
(b) How much money did Lucy have at first?
|
Lucy |
Anna |
Total |
Before |
2.5 u + 19.5 |
2 u + 39 |
106.20 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 19.5 |
1 u + 39 |
|
(a)
Total amount that Lucy and Anna had at first
= (2.5 u + 19.5) + (2 u + 39)
= 2.5 u + 2 u + 19.5 + 39
= 4.5 u + 58.5
4.5 u + 58.5 = 106.2
4.5 u = 106.2 - 58.5
4.5 u = 47.7
1 u = 47.7 ÷ 4.5 = 10.6
Amount that Anna had at first
= 1 u
= $10.60
(b)
Amount that Lucy had at first
= 2.5 u + 19.5
= (2.5 x 10.6) + 19.5
= 26.5 + 19.5
= $46
Answer(s): (a) $10.60; (b) $46