PSLEJane and Marion went shopping together with a total amount of $109.80. Jane spent 2 times as much as Marion. The amount Marion had left was $27 more than what she had spent. She had 2 times as much money left as Jane.
(a) How much money did Marion spend?
(b) How much money did Jane have at first?
|
Jane |
Marion |
Total |
Before |
2.5 u + 13.5 |
2 u + 27 |
109.80 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 13.5 |
1 u + 27 |
|
(a)
Total amount that Jane and Marion had at first
= (2.5 u + 13.5) + (2 u + 27)
= 2.5 u + 2 u + 13.5 + 27
= 4.5 u + 40.5
4.5 u + 40.5 = 109.8
4.5 u = 109.8 - 40.5
4.5 u = 69.3
1 u = 69.3 ÷ 4.5 = 15.4
Amount that Marion had at first
= 1 u
= $15.40
(b)
Amount that Jane had at first
= 2.5 u + 13.5
= (2.5 x 15.4) + 13.5
= 38.5 + 13.5
= $52
Answer(s): (a) $15.40; (b) $52