45 Joelle's money was equal to
25 of Rachel's money at first. After Joelle spent $2.40 and Rachel spent $1.20, Joelle had
25 as much money as Rachel.
- How much did Rachel have at first? Express your answer in 2 decimal places.
- How much did Joelle have in the end? Express your answer in 2 decimal places.
| |
Make p the same
(3)x5 |
Joelle
(1) |
Rachel
(2) |
Make p the same
(4)x2 |
| Before |
25 u |
5 u |
10 u |
20 u |
| Change |
- 12 |
- 2.4 |
- 1.2 |
- 2.4 |
| After |
10 p |
2 p |
5p |
10 p |
45 Joelle's money =
25 Rachel's money
45 Joelle's money =
410 Rachel's money
Joelle's money : Rachel's money = 5 : 10
(3) = (4)
25 u - 12 = 20 u - 2.4
25 u - 20 u = 12 - 2.4
5 u = 9.6
1 u = 1.92
Amount Rachel has at first
= 10 u
= 10 x 1.92
= 19.2 (a)
Amount Joelle has in the end
= 5 u - 2.4
= (5 x 1.92) - 2.4
= 7.2 (b)
Answers: (a) $19.20; (b) $7.20
