45 Penelope's money was equal to
25 of Cindy's money at first. After Penelope spent $2.40 and Cindy spent $0.70, Penelope had
25 as much money as Cindy.
- How much did Cindy have at first? Express your answer in 2 decimal places.
- How much did Penelope have in the end? Express your answer in 2 decimal places.
| |
Make p the same
(3)x5 |
Penelope
(1) |
Cindy
(2) |
Make p the same
(4)x2 |
| Before |
25 u |
5 u |
10 u |
20 u |
| Change |
- 12 |
- 2.4 |
- 0.7 |
- 1.4 |
| After |
10 p |
2 p |
5p |
10 p |
45 Penelope's money =
25 Cindy's money
45 Penelope's money =
410 Cindy's money
Penelope's money : Cindy's money = 5 : 10
(3) = (4)
25 u - 12 = 20 u - 1.4
25 u - 20 u = 12 - 1.4
5 u = 10.6
1 u = 2.12
Amount Cindy has at first
= 10 u
= 10 x 2.12
= 21.2 (a)
Amount Penelope has in the end
= 5 u - 2.4
= (5 x 2.12) - 2.4
= 8.2 (b)
Answers: (a) $21.20; (b) $8.20
