PSLEShannon and Linda went shopping together with a total amount of $72.60. Shannon spent 2 times as much as Linda. The amount Linda had left was $16 more than what she had spent. She had 2 times as much money left as Shannon.
(a) How much money did Linda spend?
(b) How much money did Shannon have at first?
|
Shannon |
Linda |
Total |
Before |
2.5 u + 8 |
2 u + 16 |
72.60 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 8 |
1 u + 16 |
|
(a)
Total amount that Shannon and Linda had at first
= (2.5 u + 8) + (2 u + 16)
= 2.5 u + 2 u + 8 + 16
= 4.5 u + 24
4.5 u + 24 = 72.6
4.5 u = 72.6 - 24
4.5 u = 48.6
1 u = 48.6 ÷ 4.5 = 10.8
Amount that Linda had at first
= 1 u
= $10.80
(b)
Amount that Shannon had at first
= 2.5 u + 8
= (2.5 x 10.8) + 8
= 27 + 8
= $35
Answer(s): (a) $10.80; (b) $35