45 Wendy's money was equal to
23 of Sarah's money at first. After Wendy spent $2.30 and Sarah spent $0.70, Wendy had
34 as much money as Sarah.
- How much did Sarah have at first? Express your answer in 2 decimal places.
- How much did Wendy have in the end? Express your answer in 2 decimal places.
| |
Make p the same
(3)x4 |
Wendy
(1) |
Sarah
(2) |
Make p the same
(4)x3 |
| Before |
20 u |
5 u |
6 u |
18 u |
| Change |
- 9.2 |
- 2.3 |
- 0.7 |
- 2.1 |
| After |
12 p |
3 p |
4p |
12 p |
45 Wendy's money =
23 Sarah's money
45 Wendy's money =
46 Sarah's money
Wendy's money : Sarah's money = 5 : 6
(3) = (4)
20 u - 9.2 = 18 u - 2.1
20 u - 18 u = 9.2 - 2.1
2 u = 7.1
1 u = 3.55
Amount Sarah has at first
= 6 u
= 6 x 3.55
= 21.3 (a)
Amount Wendy has in the end
= 5 u - 2.3
= (5 x 3.55) - 2.3
= 15.45 (b)
Answers: (a) $21.30; (b) $15.45
