45 Xylia's money was equal to
23 of Shannon's money at first. After Xylia spent $1.80 and Shannon spent $0.80, Xylia had
34 as much money as Shannon.
- How much did Shannon have at first? Express your answer in 2 decimal places.
- How much did Xylia have in the end? Express your answer in 2 decimal places.
| |
Make p the same
(3)x4 |
Xylia
(1) |
Shannon
(2) |
Make p the same
(4)x3 |
| Before |
20 u |
5 u |
6 u |
18 u |
| Change |
- 7.2 |
- 1.8 |
- 0.8 |
- 2.4 |
| After |
12 p |
3 p |
4p |
12 p |
45 Xylia's money =
23 Shannon's money
45 Xylia's money =
46 Shannon's money
Xylia's money : Shannon's money = 5 : 6
(3) = (4)
20 u - 7.2 = 18 u - 2.4
20 u - 18 u = 7.2 - 2.4
2 u = 4.8
1 u = 2.4
Amount Shannon has at first
= 6 u
= 6 x 2.4
= 14.4 (a)
Amount Xylia has in the end
= 5 u - 1.8
= (5 x 2.4) - 1.8
= 10.2 (b)
Answers: (a) $14.40; (b) $10.20
