45 Victoria's money was equal to
23 of Usha's money at first. After Victoria spent $1.50 and Usha spent $0.90, Victoria had
34 as much money as Usha.
- How much did Usha have at first? Express your answer in 2 decimal places.
- How much did Victoria have in the end? Express your answer in 2 decimal places.
|
Make p the same (3)x4 |
Victoria (1) |
Usha (2) |
Make p the same (4)x3 |
Before |
20 u |
5 u |
6 u |
18 u |
Change |
- 6 |
- 1.5 |
- 0.9 |
- 2.7 |
After |
12 p |
3 p |
4p |
12 p |
45 Victoria's money =
23 Usha's money
45 Victoria's money =
46 Usha's money
Victoria's money : Usha's money = 5 : 6
(3) = (4)
20 u - 6 = 18 u - 2.7
20 u - 18 u = 6 - 2.7
2 u = 3.3
1 u = 1.65
Amount Usha has at first
= 6 u
= 6 x 1.65
= 9.9 (a)
Amount Victoria has in the end
= 5 u - 1.5
= (5 x 1.65) - 1.5
= 6.75 (b)
Answers: (a) $9.90; (b) $6.75