45 Zoe's money was equal to
25 of Erika's money at first. After Zoe spent $1.60 and Erika spent $0.90, Zoe had
25 as much money as Erika.
- How much did Erika 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)x5 |
Zoe
(1) |
Erika
(2) |
Make p the same
(4)x2 |
| Before |
25 u |
5 u |
10 u |
20 u |
| Change |
- 8 |
- 1.6 |
- 0.9 |
- 1.8 |
| After |
10 p |
2 p |
5p |
10 p |
45 Zoe's money =
25 Erika's money
45 Zoe's money =
410 Erika's money
Zoe's money : Erika's money = 5 : 10
(3) = (4)
25 u - 8 = 20 u - 1.8
25 u - 20 u = 8 - 1.8
5 u = 6.2
1 u = 1.24
Amount Erika has at first
= 10 u
= 10 x 1.24
= 12.4 (a)
Amount Zoe has in the end
= 5 u - 1.6
= (5 x 1.24) - 1.6
= 4.6 (b)
Answers: (a) $12.40; (b) $4.60
