PSLEUsha and Gillian went shopping together with a total amount of $80.40. Usha spent 2 times as much as Gillian. The amount Gillian had left was $23 more than what she had spent. She had 2 times as much money left as Usha.
(a) How much money did Gillian spend?
(b) How much money did Usha have at first?
|
Usha |
Gillian |
Total |
Before |
2.5 u + 11.5 |
2 u + 23 |
80.40 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 11.5 |
1 u + 23 |
|
(a)
Total amount that Usha and Gillian had at first
= (2.5 u + 11.5) + (2 u + 23)
= 2.5 u + 2 u + 11.5 + 23
= 4.5 u + 34.5
4.5 u + 34.5 = 80.4
4.5 u = 80.4 - 34.5
4.5 u = 45.9
1 u = 45.9 ÷ 4.5 = 10.2
Amount that Gillian had at first
= 1 u
= $10.20
(b)
Amount that Usha had at first
= 2.5 u + 11.5
= (2.5 x 10.2) + 11.5
= 25.5 + 11.5
= $37
Answer(s): (a) $10.20; (b) $37