45 Tiffany's money was equal to
25 of Shiyun's money at first. After Tiffany spent $2.10 and Shiyun spent $0.70, Tiffany had
25 as much money as Shiyun.
- How much did Shiyun have at first? Express your answer in 2 decimal places.
- How much did Tiffany have in the end? Express your answer in 2 decimal places.
| |
Make p the same
(3)x5 |
Tiffany
(1) |
Shiyun
(2) |
Make p the same
(4)x2 |
| Before |
25 u |
5 u |
10 u |
20 u |
| Change |
- 10.5 |
- 2.1 |
- 0.7 |
- 1.4 |
| After |
10 p |
2 p |
5p |
10 p |
45 Tiffany's money =
25 Shiyun's money
45 Tiffany's money =
410 Shiyun's money
Tiffany's money : Shiyun's money = 5 : 10
(3) = (4)
25 u - 10.5 = 20 u - 1.4
25 u - 20 u = 10.5 - 1.4
5 u = 9.1
1 u = 1.82
Amount Shiyun has at first
= 10 u
= 10 x 1.82
= 18.2 (a)
Amount Tiffany has in the end
= 5 u - 2.1
= (5 x 1.82) - 2.1
= 7 (b)
Answers: (a) $18.20; (b) $7.00
