45 Usha's money was equal to
23 of Elyse's money at first. After Usha spent $1.50 and Elyse spent $0.70, Usha had
34 as much money as Elyse.
- How much did Elyse have at first? Express your answer in 2 decimal places.
- How much did Usha have in the end? Express your answer in 2 decimal places.
|
Make p the same (3)x4 |
Usha (1) |
Elyse (2) |
Make p the same (4)x3 |
Before |
20 u |
5 u |
6 u |
18 u |
Change |
- 6 |
- 1.5 |
- 0.7 |
- 2.1 |
After |
12 p |
3 p |
4p |
12 p |
45 Usha's money =
23 Elyse's money
45 Usha's money =
46 Elyse's money
Usha's money : Elyse's money = 5 : 6
(3) = (4)
20 u - 6 = 18 u - 2.1
20 u - 18 u = 6 - 2.1
2 u = 3.9
1 u = 1.95
Amount Elyse has at first
= 6 u
= 6 x 1.95
= 11.7 (a)
Amount Usha has in the end
= 5 u - 1.5
= (5 x 1.95) - 1.5
= 8.25 (b)
Answers: (a) $11.70; (b) $8.25