PSLEJane and Xylia went shopping together with a total amount of $88.80. Jane spent 2 times as much as Xylia. The amount Xylia had left was $10 more than what she had spent. She had 2 times as much money left as Jane.
(a) How much money did Xylia spend?
(b) How much money did Jane have at first?
|
Jane |
Xylia |
Total |
Before |
2.5 u + 5 |
2 u + 10 |
88.80 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 5 |
1 u + 10 |
|
(a)
Total amount that Jane and Xylia had at first
= (2.5 u + 5) + (2 u + 10)
= 2.5 u + 2 u + 5 + 10
= 4.5 u + 15
4.5 u + 15 = 88.8
4.5 u = 88.8 - 15
4.5 u = 73.8
1 u = 73.8 ÷ 4.5 = 16.4
Amount that Xylia had at first
= 1 u
= $16.40
(b)
Amount that Jane had at first
= 2.5 u + 5
= (2.5 x 16.4) + 5
= 41 + 5
= $46
Answer(s): (a) $16.40; (b) $46