45 Lynn's money was equal to
25 of Rachel's money at first. After Lynn spent $1.50 and Rachel spent $0.90, Lynn had
25 as much money as Rachel.
- How much did Rachel 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)x5 |
Lynn
(1) |
Rachel
(2) |
Make p the same
(4)x2 |
| Before |
25 u |
5 u |
10 u |
20 u |
| Change |
- 7.5 |
- 1.5 |
- 0.9 |
- 1.8 |
| After |
10 p |
2 p |
5p |
10 p |
45 Lynn's money =
25 Rachel's money
45 Lynn's money =
410 Rachel's money
Lynn's money : Rachel's money = 5 : 10
(3) = (4)
25 u - 7.5 = 20 u - 1.8
25 u - 20 u = 7.5 - 1.8
5 u = 5.7
1 u = 1.14
Amount Rachel has at first
= 10 u
= 10 x 1.14
= 11.4 (a)
Amount Lynn has in the end
= 5 u - 1.5
= (5 x 1.14) - 1.5
= 4.2 (b)
Answers: (a) $11.40; (b) $4.20
