45 Natalie's money was equal to
25 of Hilda's money at first. After Natalie spent $1.50 and Hilda spent $1.20, Natalie had
25 as much money as Hilda.
- How much did Hilda 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)x5 |
Natalie
(1) |
Hilda
(2) |
Make p the same
(4)x2 |
| Before |
25 u |
5 u |
10 u |
20 u |
| Change |
- 7.5 |
- 1.5 |
- 1.2 |
- 2.4 |
| After |
10 p |
2 p |
5p |
10 p |
45 Natalie's money =
25 Hilda's money
45 Natalie's money =
410 Hilda's money
Natalie's money : Hilda's money = 5 : 10
(3) = (4)
25 u - 7.5 = 20 u - 2.4
25 u - 20 u = 7.5 - 2.4
5 u = 5.1
1 u = 1.02
Amount Hilda has at first
= 10 u
= 10 x 1.02
= 10.2 (a)
Amount Natalie has in the end
= 5 u - 1.5
= (5 x 1.02) - 1.5
= 3.6 (b)
Answers: (a) $10.20; (b) $3.60
