PSLEJane and Shannon went shopping together with a total amount of $109.20. Jane spent 2 times as much as Shannon. The amount Shannon had left was $26 more than what she had spent. She had 2 times as much money left as Jane.
(a) How much money did Shannon spend?
(b) How much money did Jane have at first?
|
Jane |
Shannon |
Total |
Before |
2.5 u + 13 |
2 u + 26 |
109.20 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 13 |
1 u + 26 |
|
(a)
Total amount that Jane and Shannon had at first
= (2.5 u + 13) + (2 u + 26)
= 2.5 u + 2 u + 13 + 26
= 4.5 u + 39
4.5 u + 39 = 109.2
4.5 u = 109.2 - 39
4.5 u = 70.2
1 u = 70.2 ÷ 4.5 = 15.6
Amount that Shannon had at first
= 1 u
= $15.60
(b)
Amount that Jane had at first
= 2.5 u + 13
= (2.5 x 15.6) + 13
= 39 + 13
= $52
Answer(s): (a) $15.60; (b) $52