PSLEJade and Zoe went shopping together with a total amount of $111.60. Jade spent 2 times as much as Zoe. The amount Zoe had left was $24 more than what she had spent. She had 2 times as much money left as Jade.
(a) How much money did Zoe spend?
(b) How much money did Jade have at first?
|
Jade |
Zoe |
Total |
Before |
2.5 u + 12 |
2 u + 24 |
111.60 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 12 |
1 u + 24 |
|
(a)
Total amount that Jade and Zoe had at first
= (2.5 u + 12) + (2 u + 24)
= 2.5 u + 2 u + 12 + 24
= 4.5 u + 36
4.5 u + 36 = 111.6
4.5 u = 111.6 - 36
4.5 u = 75.6
1 u = 75.6 ÷ 4.5 = 16.8
Amount that Zoe had at first
= 1 u
= $16.80
(b)
Amount that Jade had at first
= 2.5 u + 12
= (2.5 x 16.8) + 12
= 42 + 12
= $54
Answer(s): (a) $16.80; (b) $54