PSLEUsha and Winnie went shopping together with a total amount of $108.60. Usha spent 2 times as much as Winnie. The amount Winnie had left was $37 more than what she had spent. She had 2 times as much money left as Usha.
(a) How much money did Winnie spend?
(b) How much money did Usha have at first?
|
Usha |
Winnie |
Total |
Before |
2.5 u + 18.5 |
2 u + 37 |
108.60 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 18.5 |
1 u + 37 |
|
(a)
Total amount that Usha and Winnie had at first
= (2.5 u + 18.5) + (2 u + 37)
= 2.5 u + 2 u + 18.5 + 37
= 4.5 u + 55.5
4.5 u + 55.5 = 108.6
4.5 u = 108.6 - 55.5
4.5 u = 53.1
1 u = 53.1 ÷ 4.5 = 11.8
Amount that Winnie had at first
= 1 u
= $11.80
(b)
Amount that Usha had at first
= 2.5 u + 18.5
= (2.5 x 11.8) + 18.5
= 29.5 + 18.5
= $48
Answer(s): (a) $11.80; (b) $48