45 Shiyun's money was equal to
25 of Sarah's money at first. After Shiyun spent $2.30 and Sarah spent $1.10, Shiyun had
25 as much money as Sarah.
- How much did Sarah have at first? Express your answer in 2 decimal places.
- How much did Shiyun have in the end? Express your answer in 2 decimal places.
| |
Make p the same
(3)x5 |
Shiyun
(1) |
Sarah
(2) |
Make p the same
(4)x2 |
| Before |
25 u |
5 u |
10 u |
20 u |
| Change |
- 11.5 |
- 2.3 |
- 1.1 |
- 2.2 |
| After |
10 p |
2 p |
5p |
10 p |
45 Shiyun's money =
25 Sarah's money
45 Shiyun's money =
410 Sarah's money
Shiyun's money : Sarah's money = 5 : 10
(3) = (4)
25 u - 11.5 = 20 u - 2.2
25 u - 20 u = 11.5 - 2.2
5 u = 9.3
1 u = 1.86
Amount Sarah has at first
= 10 u
= 10 x 1.86
= 18.6 (a)
Amount Shiyun has in the end
= 5 u - 2.3
= (5 x 1.86) - 2.3
= 7 (b)
Answers: (a) $18.60; (b) $7.00
