PSLEUsha and Jane went shopping together with a total amount of $88.20. Usha spent 2 times as much as Jane. The amount Jane had left was $9 more than what she had spent. She had 2 times as much money left as Usha.
(a) How much money did Jane spend?
(b) How much money did Usha have at first?
|
Usha |
Jane |
Total |
Before |
2.5 u + 4.5 |
2 u + 9 |
88.20 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 4.5 |
1 u + 9 |
|
(a)
Total amount that Usha and Jane had at first
= (2.5 u + 4.5) + (2 u + 9)
= 2.5 u + 2 u + 4.5 + 9
= 4.5 u + 13.5
4.5 u + 13.5 = 88.2
4.5 u = 88.2 - 13.5
4.5 u = 74.7
1 u = 74.7 ÷ 4.5 = 16.6
Amount that Jane had at first
= 1 u
= $16.60
(b)
Amount that Usha had at first
= 2.5 u + 4.5
= (2.5 x 16.6) + 4.5
= 41.5 + 4.5
= $46
Answer(s): (a) $16.60; (b) $46