PSLEXuan and Sabrina went shopping together with a total amount of $119.40. Xuan spent 2 times as much as Sabrina. The amount Sabrina had left was $40 more than what she had spent. She had 2 times as much money left as Xuan.
(a) How much money did Sabrina spend?
(b) How much money did Xuan have at first?
|
Xuan |
Sabrina |
Total |
Before |
2.5 u + 20 |
2 u + 40 |
119.40 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 20 |
1 u + 40 |
|
(a)
Total amount that Xuan and Sabrina 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 = 119.4
4.5 u = 119.4 - 60
4.5 u = 59.4
1 u = 59.4 ÷ 4.5 = 13.2
Amount that Sabrina had at first
= 1 u
= $13.20
(b)
Amount that Xuan had at first
= 2.5 u + 20
= (2.5 x 13.2) + 20
= 33 + 20
= $53
Answer(s): (a) $13.20; (b) $53