PSLEFanny and Barbara went shopping together with a total amount of $114.60. Fanny spent 2 times as much as Barbara. The amount Barbara had left was $32 more than what she had spent. She had 2 times as much money left as Fanny.
(a) How much money did Barbara spend?
(b) How much money did Fanny have at first?
|
Fanny |
Barbara |
Total |
Before |
2.5 u + 16 |
2 u + 32 |
114.60 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 16 |
1 u + 32 |
|
(a)
Total amount that Fanny and Barbara had at first
= (2.5 u + 16) + (2 u + 32)
= 2.5 u + 2 u + 16 + 32
= 4.5 u + 48
4.5 u + 48 = 114.6
4.5 u = 114.6 - 48
4.5 u = 66.6
1 u = 66.6 ÷ 4.5 = 14.8
Amount that Barbara had at first
= 1 u
= $14.80
(b)
Amount that Fanny had at first
= 2.5 u + 16
= (2.5 x 14.8) + 16
= 37 + 16
= $53
Answer(s): (a) $14.80; (b) $53