45 Olivia's money was equal to
25 of Xylia's money at first. After Olivia spent $1.90 and Xylia spent $0.90, Olivia had
25 as much money as Xylia.
- How much did Xylia have at first? Express your answer in 2 decimal places.
- How much did Olivia have in the end? Express your answer in 2 decimal places.
| |
Make p the same
(3)x5 |
Olivia
(1) |
Xylia
(2) |
Make p the same
(4)x2 |
| Before |
25 u |
5 u |
10 u |
20 u |
| Change |
- 9.5 |
- 1.9 |
- 0.9 |
- 1.8 |
| After |
10 p |
2 p |
5p |
10 p |
45 Olivia's money =
25 Xylia's money
45 Olivia's money =
410 Xylia's money
Olivia's money : Xylia's money = 5 : 10
(3) = (4)
25 u - 9.5 = 20 u - 1.8
25 u - 20 u = 9.5 - 1.8
5 u = 7.7
1 u = 1.54
Amount Xylia has at first
= 10 u
= 10 x 1.54
= 15.4 (a)
Amount Olivia has in the end
= 5 u - 1.9
= (5 x 1.54) - 1.9
= 5.8 (b)
Answers: (a) $15.40; (b) $5.80
