45 Nora's money was equal to
25 of Hazel's money at first. After Nora spent $1.70 and Hazel spent $0.70, Nora had
25 as much money as Hazel.
- How much did Hazel have at first? Express your answer in 2 decimal places.
- How much did Nora have in the end? Express your answer in 2 decimal places.
| |
Make p the same
(3)x5 |
Nora
(1) |
Hazel
(2) |
Make p the same
(4)x2 |
| Before |
25 u |
5 u |
10 u |
20 u |
| Change |
- 8.5 |
- 1.7 |
- 0.7 |
- 1.4 |
| After |
10 p |
2 p |
5p |
10 p |
45 Nora's money =
25 Hazel's money
45 Nora's money =
410 Hazel's money
Nora's money : Hazel's money = 5 : 10
(3) = (4)
25 u - 8.5 = 20 u - 1.4
25 u - 20 u = 8.5 - 1.4
5 u = 7.1
1 u = 1.42
Amount Hazel has at first
= 10 u
= 10 x 1.42
= 14.2 (a)
Amount Nora has in the end
= 5 u - 1.7
= (5 x 1.42) - 1.7
= 5.4 (b)
Answers: (a) $14.20; (b) $5.40
