45 Abi's money was equal to
23 of Opal's money at first. After Abi spent $2.10 and Opal spent $1.20, Abi had
34 as much money as Opal.
- How much did Opal have at first? Express your answer in 2 decimal places.
- How much did Abi have in the end? Express your answer in 2 decimal places.
|
Make p the same (3)x4 |
Abi (1) |
Opal (2) |
Make p the same (4)x3 |
Before |
20 u |
5 u |
6 u |
18 u |
Change |
- 8.4 |
- 2.1 |
- 1.2 |
- 3.6 |
After |
12 p |
3 p |
4p |
12 p |
45 Abi's money =
23 Opal's money
45 Abi's money =
46 Opal's money
Abi's money : Opal's money = 5 : 6
(3) = (4)
20 u - 8.4 = 18 u - 3.6
20 u - 18 u = 8.4 - 3.6
2 u = 4.8
1 u = 2.4
Amount Opal has at first
= 6 u
= 6 x 2.4
= 14.4 (a)
Amount Abi has in the end
= 5 u - 2.1
= (5 x 2.4) - 2.1
= 9.9 (b)
Answers: (a) $14.40; (b) $9.90