45 Xuan's money was equal to
23 of Fiona's money at first. After Xuan spent $2.10 and Fiona spent $0.60, Xuan had
34 as much money as Fiona.
- How much did Fiona have at first? Express your answer in 2 decimal places.
- How much did Xuan have in the end? Express your answer in 2 decimal places.
| |
Make p the same
(3)x4 |
Xuan
(1) |
Fiona
(2) |
Make p the same
(4)x3 |
| Before |
20 u |
5 u |
6 u |
18 u |
| Change |
- 8.4 |
- 2.1 |
- 0.6 |
- 1.8 |
| After |
12 p |
3 p |
4p |
12 p |
45 Xuan's money =
23 Fiona's money
45 Xuan's money =
46 Fiona's money
Xuan's money : Fiona's money = 5 : 6
(3) = (4)
20 u - 8.4 = 18 u - 1.8
20 u - 18 u = 8.4 - 1.8
2 u = 6.6
1 u = 3.3
Amount Fiona has at first
= 6 u
= 6 x 3.3
= 19.8 (a)
Amount Xuan has in the end
= 5 u - 2.1
= (5 x 3.3) - 2.1
= 14.4 (b)
Answers: (a) $19.80; (b) $14.40
