45 Irene's money was equal to
23 of Usha's money at first. After Irene spent $1.70 and Usha spent $0.90, Irene had
34 as much money as Usha.
- How much did Usha 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)x4 |
Irene
(1) |
Usha
(2) |
Make p the same
(4)x3 |
| Before |
20 u |
5 u |
6 u |
18 u |
| Change |
- 6.8 |
- 1.7 |
- 0.9 |
- 2.7 |
| After |
12 p |
3 p |
4p |
12 p |
45 Irene's money =
23 Usha's money
45 Irene's money =
46 Usha's money
Irene's money : Usha's money = 5 : 6
(3) = (4)
20 u - 6.8 = 18 u - 2.7
20 u - 18 u = 6.8 - 2.7
2 u = 4.1
1 u = 2.05
Amount Usha has at first
= 6 u
= 6 x 2.05
= 12.3 (a)
Amount Irene has in the end
= 5 u - 1.7
= (5 x 2.05) - 1.7
= 8.55 (b)
Answers: (a) $12.30; (b) $8.55
