45 Fanny's money was equal to
23 of Rachel's money at first. After Fanny spent $1.70 and Rachel spent $1.20, Fanny had
23 as much money as Rachel.
- How much did Rachel have at first? Express your answer in 2 decimal places.
- How much did Fanny have in the end? Express your answer in 2 decimal places.
|
Make p the same (3)x3 |
Fanny (1) |
Rachel (2) |
Make p the same (4)x2 |
Before |
15 u |
5 u |
6 u |
12 u |
Change |
- 5.1 |
- 1.7 |
- 1.2 |
- 2.4 |
After |
6 p |
2 p |
3p |
6 p |
45 Fanny's money =
23 Rachel's money
45 Fanny's money =
46 Rachel's money
Fanny's money : Rachel's money = 5 : 6
(3) = (4)
15 u - 5.1 = 12 u - 2.4
15 u - 12 u = 5.1 - 2.4
3 u = 2.7
1 u = 0.9
Amount Rachel has at first
= 6 u
= 6 x 0.9
= 5.4 (a)
Amount Fanny has in the end
= 5 u - 1.7
= (5 x 0.9) - 1.7
= 2.8 (b)
Answers: (a) $5.40; (b) $2.80