45 Gwen's money was equal to
23 of Ivory's money at first. After Gwen spent $1.80 and Ivory spent $1.20, Gwen had
34 as much money as Ivory.
- How much did Ivory have at first? Express your answer in 2 decimal places.
- How much did Gwen have in the end? Express your answer in 2 decimal places.
|
Make p the same (3)x4 |
Gwen (1) |
Ivory (2) |
Make p the same (4)x3 |
Before |
20 u |
5 u |
6 u |
18 u |
Change |
- 7.2 |
- 1.8 |
- 1.2 |
- 3.6 |
After |
12 p |
3 p |
4p |
12 p |
45 Gwen's money =
23 Ivory's money
45 Gwen's money =
46 Ivory's money
Gwen's money : Ivory's money = 5 : 6
(3) = (4)
20 u - 7.2 = 18 u - 3.6
20 u - 18 u = 7.2 - 3.6
2 u = 3.6
1 u = 1.8
Amount Ivory has at first
= 6 u
= 6 x 1.8
= 10.8 (a)
Amount Gwen has in the end
= 5 u - 1.8
= (5 x 1.8) - 1.8
= 7.2 (b)
Answers: (a) $10.80; (b) $7.20