45 Olivia's money was equal to
23 of Gwen's money at first. After Olivia spent $2.40 and Gwen spent $0.90, Olivia had
23 as much money as Gwen.
- How much did Gwen 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)x3 |
Olivia (1) |
Gwen (2) |
Make p the same (4)x2 |
Before |
15 u |
5 u |
6 u |
12 u |
Change |
- 7.2 |
- 2.4 |
- 0.9 |
- 1.8 |
After |
6 p |
2 p |
3p |
6 p |
45 Olivia's money =
23 Gwen's money
45 Olivia's money =
46 Gwen's money
Olivia's money : Gwen's money = 5 : 6
(3) = (4)
15 u - 7.2 = 12 u - 1.8
15 u - 12 u = 7.2 - 1.8
3 u = 5.4
1 u = 1.8
Amount Gwen has at first
= 6 u
= 6 x 1.8
= 10.8 (a)
Amount Olivia has in the end
= 5 u - 2.4
= (5 x 1.8) - 2.4
= 6.6 (b)
Answers: (a) $10.80; (b) $6.60