45 Fiona's money was equal to
25 of Gwen's money at first. After Fiona spent $1.70 and Gwen spent $1.10, Fiona had
25 as much money as Gwen.
- How much did Gwen have at first? Express your answer in 2 decimal places.
- How much did Fiona have in the end? Express your answer in 2 decimal places.
| |
Make p the same
(3)x5 |
Fiona
(1) |
Gwen
(2) |
Make p the same
(4)x2 |
| Before |
25 u |
5 u |
10 u |
20 u |
| Change |
- 8.5 |
- 1.7 |
- 1.1 |
- 2.2 |
| After |
10 p |
2 p |
5p |
10 p |
45 Fiona's money =
25 Gwen's money
45 Fiona's money =
410 Gwen's money
Fiona's money : Gwen's money = 5 : 10
(3) = (4)
25 u - 8.5 = 20 u - 2.2
25 u - 20 u = 8.5 - 2.2
5 u = 6.3
1 u = 1.26
Amount Gwen has at first
= 10 u
= 10 x 1.26
= 12.6 (a)
Amount Fiona has in the end
= 5 u - 1.7
= (5 x 1.26) - 1.7
= 4.6 (b)
Answers: (a) $12.60; (b) $4.60
