45 Esther's money was equal to
23 of Gillian's money at first. After Esther spent $2.20 and Gillian spent $1.20, Esther had
34 as much money as Gillian.
- How much did Gillian have at first? Express your answer in 2 decimal places.
- How much did Esther have in the end? Express your answer in 2 decimal places.
| |
Make p the same
(3)x4 |
Esther
(1) |
Gillian
(2) |
Make p the same
(4)x3 |
| Before |
20 u |
5 u |
6 u |
18 u |
| Change |
- 8.8 |
- 2.2 |
- 1.2 |
- 3.6 |
| After |
12 p |
3 p |
4p |
12 p |
45 Esther's money =
23 Gillian's money
45 Esther's money =
46 Gillian's money
Esther's money : Gillian's money = 5 : 6
(3) = (4)
20 u - 8.8 = 18 u - 3.6
20 u - 18 u = 8.8 - 3.6
2 u = 5.2
1 u = 2.6
Amount Gillian has at first
= 6 u
= 6 x 2.6
= 15.6 (a)
Amount Esther has in the end
= 5 u - 2.2
= (5 x 2.6) - 2.2
= 10.8 (b)
Answers: (a) $15.60; (b) $10.80
