PSLEFanny and Usha went shopping together with a total amount of $120.60. Fanny spent 2 times as much as Usha. The amount Usha had left was $27 more than what she had spent. She had 2 times as much money left as Fanny.
(a) How much money did Usha spend?
(b) How much money did Fanny have at first?
|
Fanny |
Usha |
Total |
Before |
2.5 u + 13.5 |
2 u + 27 |
120.60 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 13.5 |
1 u + 27 |
|
(a)
Total amount that Fanny and Usha had at first
= (2.5 u + 13.5) + (2 u + 27)
= 2.5 u + 2 u + 13.5 + 27
= 4.5 u + 40.5
4.5 u + 40.5 = 120.6
4.5 u = 120.6 - 40.5
4.5 u = 80.1
1 u = 80.1 ÷ 4.5 = 17.8
Amount that Usha had at first
= 1 u
= $17.80
(b)
Amount that Fanny had at first
= 2.5 u + 13.5
= (2.5 x 17.8) + 13.5
= 44.5 + 13.5
= $58
Answer(s): (a) $17.80; (b) $58