PSLEZara and Jane went shopping together with a total amount of $115.20. Zara spent 2 times as much as Jane. The amount Jane had left was $33 more than what she had spent. She had 2 times as much money left as Zara.
(a) How much money did Jane spend?
(b) How much money did Zara have at first?
|
Zara |
Jane |
Total |
Before |
2.5 u + 16.5 |
2 u + 33 |
115.20 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 16.5 |
1 u + 33 |
|
(a)
Total amount that Zara and Jane 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 = 115.2
4.5 u = 115.2 - 49.5
4.5 u = 65.7
1 u = 65.7 ÷ 4.5 = 14.6
Amount that Jane had at first
= 1 u
= $14.60
(b)
Amount that Zara had at first
= 2.5 u + 16.5
= (2.5 x 14.6) + 16.5
= 36.5 + 16.5
= $53
Answer(s): (a) $14.60; (b) $53