35 Olivia's money was equal to
25 of Fiona's money at first. After Olivia spent $1.60 and Fiona spent $0.90, Olivia had
25 as much money as Fiona.
- How much did Fiona have at first? Express your answer in 2 decimal places.
- How much did Olivia have in the end? Express your answer in 2 decimal places.
| |
Make p the same
(3)x5 |
Olivia
(1) |
Fiona
(2) |
Make p the same
(4)x2 |
| Before |
50 u |
10 u |
15 u |
30 u |
| Change |
- 8 |
- 1.6 |
- 0.9 |
- 1.8 |
| After |
10 p |
2 p |
5p |
10 p |
35 Olivia's money =
25 Fiona's money
610 Olivia's money =
615 Fiona's money
Olivia's money : Fiona's money = 10 : 15
(3) = (4)
50 u - 8 = 30 u - 1.8
50 u - 30 u = 8 - 1.8
20 u = 6.2
1 u = 0.31
Amount Fiona has at first
= 15 u
= 15 x 0.31
= 4.65 (a)
Amount Olivia has in the end
= 10 u - 1.6
= (10 x 0.31) - 1.6
= 1.5 (b)
Answers: (a) $4.65; (b) $1.50
