PSLEShannon and Marion went shopping together with a total amount of $115.80. Shannon spent 2 times as much as Marion. The amount Marion had left was $40 more than what she had spent. She had 2 times as much money left as Shannon.
(a) How much money did Marion spend?
(b) How much money did Shannon have at first?
|
Shannon |
Marion |
Total |
Before |
2.5 u + 20 |
2 u + 40 |
115.80 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 20 |
1 u + 40 |
|
(a)
Total amount that Shannon and Marion had at first
= (2.5 u + 20) + (2 u + 40)
= 2.5 u + 2 u + 20 + 40
= 4.5 u + 60
4.5 u + 60 = 115.8
4.5 u = 115.8 - 60
4.5 u = 55.8
1 u = 55.8 ÷ 4.5 = 12.4
Amount that Marion had at first
= 1 u
= $12.40
(b)
Amount that Shannon had at first
= 2.5 u + 20
= (2.5 x 12.4) + 20
= 31 + 20
= $51
Answer(s): (a) $12.40; (b) $51