45 Roshel's money was equal to
23 of Opal's money at first. After Roshel spent $2.40 and Opal spent $0.90, Roshel had
34 as much money as Opal.
- How much did Opal have at first? Express your answer in 2 decimal places.
- How much did Roshel have in the end? Express your answer in 2 decimal places.
| |
Make p the same
(3)x4 |
Roshel
(1) |
Opal
(2) |
Make p the same
(4)x3 |
| Before |
20 u |
5 u |
6 u |
18 u |
| Change |
- 9.6 |
- 2.4 |
- 0.9 |
- 2.7 |
| After |
12 p |
3 p |
4p |
12 p |
45 Roshel's money =
23 Opal's money
45 Roshel's money =
46 Opal's money
Roshel's money : Opal's money = 5 : 6
(3) = (4)
20 u - 9.6 = 18 u - 2.7
20 u - 18 u = 9.6 - 2.7
2 u = 6.9
1 u = 3.45
Amount Opal has at first
= 6 u
= 6 x 3.45
= 20.7 (a)
Amount Roshel has in the end
= 5 u - 2.4
= (5 x 3.45) - 2.4
= 14.85 (b)
Answers: (a) $20.70; (b) $14.85
