PSLERisa and Jane went shopping together with a total amount of $84.60. Risa spent 2 times as much as Jane. The amount Jane had left was $24 more than what she had spent. She had 2 times as much money left as Risa.
(a) How much money did Jane spend?
(b) How much money did Risa have at first?
|
Risa |
Jane |
Total |
Before |
2.5 u + 12 |
2 u + 24 |
84.60 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 12 |
1 u + 24 |
|
(a)
Total amount that Risa and Jane 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 = 84.6
4.5 u = 84.6 - 36
4.5 u = 48.6
1 u = 48.6 ÷ 4.5 = 10.8
Amount that Jane had at first
= 1 u
= $10.80
(b)
Amount that Risa had at first
= 2.5 u + 12
= (2.5 x 10.8) + 12
= 27 + 12
= $39
Answer(s): (a) $10.80; (b) $39