45 Emily's money was equal to
23 of Nora's money at first. After Emily spent $2.20 and Nora spent $1.10, Emily had
34 as much money as Nora.
- How much did Nora have at first? Express your answer in 2 decimal places.
- How much did Emily have in the end? Express your answer in 2 decimal places.
| |
Make p the same
(3)x4 |
Emily
(1) |
Nora
(2) |
Make p the same
(4)x3 |
| Before |
20 u |
5 u |
6 u |
18 u |
| Change |
- 8.8 |
- 2.2 |
- 1.1 |
- 3.3 |
| After |
12 p |
3 p |
4p |
12 p |
45 Emily's money =
23 Nora's money
45 Emily's money =
46 Nora's money
Emily's money : Nora's money = 5 : 6
(3) = (4)
20 u - 8.8 = 18 u - 3.3
20 u - 18 u = 8.8 - 3.3
2 u = 5.5
1 u = 2.75
Amount Nora has at first
= 6 u
= 6 x 2.75
= 16.5 (a)
Amount Emily has in the end
= 5 u - 2.2
= (5 x 2.75) - 2.2
= 11.55 (b)
Answers: (a) $16.50; (b) $11.55
