PSLEJean and Shiyun went shopping together with a total amount of $148.20. Jean spent 2 times as much as Shiyun. The amount Shiyun had left was $40 more than what she had spent. She had 2 times as much money left as Jean.
(a) How much money did Shiyun spend?
(b) How much money did Jean have at first?
|
Jean |
Shiyun |
Total |
Before |
2.5 u + 20 |
2 u + 40 |
148.20 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 20 |
1 u + 40 |
|
(a)
Total amount that Jean and Shiyun 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 = 148.2
4.5 u = 148.2 - 60
4.5 u = 88.2
1 u = 88.2 ÷ 4.5 = 19.6
Amount that Shiyun had at first
= 1 u
= $19.60
(b)
Amount that Jean had at first
= 2.5 u + 20
= (2.5 x 19.6) + 20
= 49 + 20
= $69
Answer(s): (a) $19.60; (b) $69