45 Diana's money was equal to
23 of Pamela's money at first. After Diana spent $1.80 and Pamela spent $0.80, Diana had
34 as much money as Pamela.
- How much did Pamela have at first? Express your answer in 2 decimal places.
- How much did Diana have in the end? Express your answer in 2 decimal places.
| |
Make p the same
(3)x4 |
Diana
(1) |
Pamela
(2) |
Make p the same
(4)x3 |
| Before |
20 u |
5 u |
6 u |
18 u |
| Change |
- 7.2 |
- 1.8 |
- 0.8 |
- 2.4 |
| After |
12 p |
3 p |
4p |
12 p |
45 Diana's money =
23 Pamela's money
45 Diana's money =
46 Pamela's money
Diana's money : Pamela's money = 5 : 6
(3) = (4)
20 u - 7.2 = 18 u - 2.4
20 u - 18 u = 7.2 - 2.4
2 u = 4.8
1 u = 2.4
Amount Pamela has at first
= 6 u
= 6 x 2.4
= 14.4 (a)
Amount Diana has in the end
= 5 u - 1.8
= (5 x 2.4) - 1.8
= 10.2 (b)
Answers: (a) $14.40; (b) $10.20
