45 Natalie's money was equal to
23 of Olivia's money at first. After Natalie spent $1.70 and Olivia spent $0.80, Natalie had
34 as much money as Olivia.
- How much did Olivia have at first? Express your answer in 2 decimal places.
- How much did Natalie have in the end? Express your answer in 2 decimal places.
| |
Make p the same
(3)x4 |
Natalie
(1) |
Olivia
(2) |
Make p the same
(4)x3 |
| Before |
20 u |
5 u |
6 u |
18 u |
| Change |
- 6.8 |
- 1.7 |
- 0.8 |
- 2.4 |
| After |
12 p |
3 p |
4p |
12 p |
45 Natalie's money =
23 Olivia's money
45 Natalie's money =
46 Olivia's money
Natalie's money : Olivia's money = 5 : 6
(3) = (4)
20 u - 6.8 = 18 u - 2.4
20 u - 18 u = 6.8 - 2.4
2 u = 4.4
1 u = 2.2
Amount Olivia has at first
= 6 u
= 6 x 2.2
= 13.2 (a)
Amount Natalie has in the end
= 5 u - 1.7
= (5 x 2.2) - 1.7
= 9.3 (b)
Answers: (a) $13.20; (b) $9.30
