45 Zoe's money was equal to
23 of Winnie's money at first. After Zoe spent $1.60 and Winnie spent $1.10, Zoe had
34 as much money as Winnie.
- How much did Winnie have at first? Express your answer in 2 decimal places.
- How much did Zoe have in the end? Express your answer in 2 decimal places.
|
Make p the same (3)x4 |
Zoe (1) |
Winnie (2) |
Make p the same (4)x3 |
Before |
20 u |
5 u |
6 u |
18 u |
Change |
- 6.4 |
- 1.6 |
- 1.1 |
- 3.3 |
After |
12 p |
3 p |
4p |
12 p |
45 Zoe's money =
23 Winnie's money
45 Zoe's money =
46 Winnie's money
Zoe's money : Winnie's money = 5 : 6
(3) = (4)
20 u - 6.4 = 18 u - 3.3
20 u - 18 u = 6.4 - 3.3
2 u = 3.1
1 u = 1.55
Amount Winnie has at first
= 6 u
= 6 x 1.55
= 9.3 (a)
Amount Zoe has in the end
= 5 u - 1.6
= (5 x 1.55) - 1.6
= 6.15 (b)
Answers: (a) $9.30; (b) $6.15