45 Dana's money was equal to
23 of Gillian's money at first. After Dana spent $1.50 and Gillian spent $0.80, Dana had
34 as much money as Gillian.
- How much did Gillian have at first? Express your answer in 2 decimal places.
- How much did Dana have in the end? Express your answer in 2 decimal places.
|
Make p the same (3)x4 |
Dana (1) |
Gillian (2) |
Make p the same (4)x3 |
Before |
20 u |
5 u |
6 u |
18 u |
Change |
- 6 |
- 1.5 |
- 0.8 |
- 2.4 |
After |
12 p |
3 p |
4p |
12 p |
45 Dana's money =
23 Gillian's money
45 Dana's money =
46 Gillian's money
Dana's money : Gillian's money = 5 : 6
(3) = (4)
20 u - 6 = 18 u - 2.4
20 u - 18 u = 6 - 2.4
2 u = 3.6
1 u = 1.8
Amount Gillian has at first
= 6 u
= 6 x 1.8
= 10.8 (a)
Amount Dana has in the end
= 5 u - 1.5
= (5 x 1.8) - 1.5
= 7.5 (b)
Answers: (a) $10.80; (b) $7.50