PSLEJane and Natalie went shopping together with a total amount of $84.60. Jane spent 2 times as much as Natalie. The amount Natalie had left was $18 more than what she had spent. She had 2 times as much money left as Jane.
(a) How much money did Natalie spend?
(b) How much money did Jane have at first?
|
Jane |
Natalie |
Total |
Before |
2.5 u + 9 |
2 u + 18 |
84.60 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 9 |
1 u + 18 |
|
(a)
Total amount that Jane and Natalie had at first
= (2.5 u + 9) + (2 u + 18)
= 2.5 u + 2 u + 9 + 18
= 4.5 u + 27
4.5 u + 27 = 84.6
4.5 u = 84.6 - 27
4.5 u = 57.6
1 u = 57.6 ÷ 4.5 = 12.8
Amount that Natalie had at first
= 1 u
= $12.80
(b)
Amount that Jane had at first
= 2.5 u + 9
= (2.5 x 12.8) + 9
= 32 + 9
= $41
Answer(s): (a) $12.80; (b) $41