PSLELinda and Xandra went shopping together with a total amount of $118.20. Linda spent 2 times as much as Xandra. The amount Xandra had left was $20 more than what she had spent. She had 2 times as much money left as Linda.
(a) How much money did Xandra spend?
(b) How much money did Linda have at first?
|
Linda |
Xandra |
Total |
Before |
2.5 u + 10 |
2 u + 20 |
118.20 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 10 |
1 u + 20 |
|
(a)
Total amount that Linda and Xandra had at first
= (2.5 u + 10) + (2 u + 20)
= 2.5 u + 2 u + 10 + 20
= 4.5 u + 30
4.5 u + 30 = 118.2
4.5 u = 118.2 - 30
4.5 u = 88.2
1 u = 88.2 ÷ 4.5 = 19.6
Amount that Xandra had at first
= 1 u
= $19.60
(b)
Amount that Linda had at first
= 2.5 u + 10
= (2.5 x 19.6) + 10
= 49 + 10
= $59
Answer(s): (a) $19.60; (b) $59