45 Lynn's money was equal to
23 of Diana's money at first. After Lynn spent $2.30 and Diana spent $1.10, Lynn had
34 as much money as Diana.
- How much did Diana have at first? Express your answer in 2 decimal places.
- How much did Lynn have in the end? Express your answer in 2 decimal places.
| |
Make p the same
(3)x4 |
Lynn
(1) |
Diana
(2) |
Make p the same
(4)x3 |
| Before |
20 u |
5 u |
6 u |
18 u |
| Change |
- 9.2 |
- 2.3 |
- 1.1 |
- 3.3 |
| After |
12 p |
3 p |
4p |
12 p |
45 Lynn's money =
23 Diana's money
45 Lynn's money =
46 Diana's money
Lynn's money : Diana's money = 5 : 6
(3) = (4)
20 u - 9.2 = 18 u - 3.3
20 u - 18 u = 9.2 - 3.3
2 u = 5.9
1 u = 2.95
Amount Diana has at first
= 6 u
= 6 x 2.95
= 17.7 (a)
Amount Lynn has in the end
= 5 u - 2.3
= (5 x 2.95) - 2.3
= 12.45 (b)
Answers: (a) $17.70; (b) $12.45
