PSLEFiona and Shiyun went shopping together with a total amount of $120.60. Fiona spent 2 times as much as Shiyun. The amount Shiyun had left was $33 more than what she had spent. She had 2 times as much money left as Fiona.
(a) How much money did Shiyun spend?
(b) How much money did Fiona have at first?
|
Fiona |
Shiyun |
Total |
Before |
2.5 u + 16.5 |
2 u + 33 |
120.60 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 16.5 |
1 u + 33 |
|
(a)
Total amount that Fiona and Shiyun had at first
= (2.5 u + 16.5) + (2 u + 33)
= 2.5 u + 2 u + 16.5 + 33
= 4.5 u + 49.5
4.5 u + 49.5 = 120.6
4.5 u = 120.6 - 49.5
4.5 u = 71.1
1 u = 71.1 ÷ 4.5 = 15.8
Amount that Shiyun had at first
= 1 u
= $15.80
(b)
Amount that Fiona had at first
= 2.5 u + 16.5
= (2.5 x 15.8) + 16.5
= 39.5 + 16.5
= $56
Answer(s): (a) $15.80; (b) $56