45 Sarah's money was equal to
25 of Jane's money at first. After Sarah spent $1.80 and Jane spent $0.90, Sarah had
25 as much money as Jane.
- How much did Jane have at first? Express your answer in 2 decimal places.
- How much did Sarah have in the end? Express your answer in 2 decimal places.
| |
Make p the same
(3)x5 |
Sarah
(1) |
Jane
(2) |
Make p the same
(4)x2 |
| Before |
25 u |
5 u |
10 u |
20 u |
| Change |
- 9 |
- 1.8 |
- 0.9 |
- 1.8 |
| After |
10 p |
2 p |
5p |
10 p |
45 Sarah's money =
25 Jane's money
45 Sarah's money =
410 Jane's money
Sarah's money : Jane's money = 5 : 10
(3) = (4)
25 u - 9 = 20 u - 1.8
25 u - 20 u = 9 - 1.8
5 u = 7.2
1 u = 1.44
Amount Jane has at first
= 10 u
= 10 x 1.44
= 14.4 (a)
Amount Sarah has in the end
= 5 u - 1.8
= (5 x 1.44) - 1.8
= 5.4 (b)
Answers: (a) $14.40; (b) $5.40
