45 Zoe's money was equal to
23 of Yoko's money at first. After Zoe spent $1.50 and Yoko spent $1.20, Zoe had
34 as much money as Yoko.
- How much did Yoko 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) |
Yoko (2) |
Make p the same (4)x3 |
Before |
20 u |
5 u |
6 u |
18 u |
Change |
- 6 |
- 1.5 |
- 1.2 |
- 3.6 |
After |
12 p |
3 p |
4p |
12 p |
45 Zoe's money =
23 Yoko's money
45 Zoe's money =
46 Yoko's money
Zoe's money : Yoko's money = 5 : 6
(3) = (4)
20 u - 6 = 18 u - 3.6
20 u - 18 u = 6 - 3.6
2 u = 2.4
1 u = 1.2
Amount Yoko has at first
= 6 u
= 6 x 1.2
= 7.2 (a)
Amount Zoe has in the end
= 5 u - 1.5
= (5 x 1.2) - 1.5
= 4.5 (b)
Answers: (a) $7.20; (b) $4.50