PSLEJean and Xuan went shopping together with a total amount of $100.20. Jean spent 2 times as much as Xuan. The amount Xuan had left was $20 more than what she had spent. She had 2 times as much money left as Jean.
(a) How much money did Xuan spend?
(b) How much money did Jean have at first?
|
Jean |
Xuan |
Total |
Before |
2.5 u + 10 |
2 u + 20 |
100.20 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 10 |
1 u + 20 |
|
(a)
Total amount that Jean and Xuan 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 = 100.2
4.5 u = 100.2 - 30
4.5 u = 70.2
1 u = 70.2 ÷ 4.5 = 15.6
Amount that Xuan had at first
= 1 u
= $15.60
(b)
Amount that Jean had at first
= 2.5 u + 10
= (2.5 x 15.6) + 10
= 39 + 10
= $49
Answer(s): (a) $15.60; (b) $49