PSLEGillian and Fanny went shopping together with a total amount of $143.40. Gillian spent 2 times as much as Fanny. The amount Fanny had left was $38 more than what she had spent. She had 2 times as much money left as Gillian.
(a) How much money did Fanny spend?
(b) How much money did Gillian have at first?
|
Gillian |
Fanny |
Total |
Before |
2.5 u + 19 |
2 u + 38 |
143.40 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 19 |
1 u + 38 |
|
(a)
Total amount that Gillian and Fanny had at first
= (2.5 u + 19) + (2 u + 38)
= 2.5 u + 2 u + 19 + 38
= 4.5 u + 57
4.5 u + 57 = 143.4
4.5 u = 143.4 - 57
4.5 u = 86.4
1 u = 86.4 ÷ 4.5 = 19.2
Amount that Fanny had at first
= 1 u
= $19.20
(b)
Amount that Gillian had at first
= 2.5 u + 19
= (2.5 x 19.2) + 19
= 48 + 19
= $67
Answer(s): (a) $19.20; (b) $67