45 Irene's money was equal to
25 of Xandra's money at first. After Irene spent $2.20 and Xandra spent $0.60, Irene had
25 as much money as Xandra.
- How much did Xandra have at first? Express your answer in 2 decimal places.
- How much did Irene have in the end? Express your answer in 2 decimal places.
| |
Make p the same
(3)x5 |
Irene
(1) |
Xandra
(2) |
Make p the same
(4)x2 |
| Before |
25 u |
5 u |
10 u |
20 u |
| Change |
- 11 |
- 2.2 |
- 0.6 |
- 1.2 |
| After |
10 p |
2 p |
5p |
10 p |
45 Irene's money =
25 Xandra's money
45 Irene's money =
410 Xandra's money
Irene's money : Xandra's money = 5 : 10
(3) = (4)
25 u - 11 = 20 u - 1.2
25 u - 20 u = 11 - 1.2
5 u = 9.8
1 u = 1.96
Amount Xandra has at first
= 10 u
= 10 x 1.96
= 19.6 (a)
Amount Irene has in the end
= 5 u - 2.2
= (5 x 1.96) - 2.2
= 7.6 (b)
Answers: (a) $19.60; (b) $7.60
