35 Rachel's money was equal to
23 of Dana's money at first. After Rachel spent $1.80 and Dana spent $0.90, Rachel had
23 as much money as Dana.
- How much did Dana have at first? Express your answer in 2 decimal places.
- How much did Rachel have in the end? Express your answer in 2 decimal places.
| |
Make p the same
(3)x3 |
Rachel
(1) |
Dana
(2) |
Make p the same
(4)x2 |
| Before |
30 u |
10 u |
9 u |
18 u |
| Change |
- 5.4 |
- 1.8 |
- 0.9 |
- 1.8 |
| After |
6 p |
2 p |
3p |
6 p |
35 Rachel's money =
23 Dana's money
610 Rachel's money =
69 Dana's money
Rachel's money : Dana's money = 10 : 9
(3) = (4)
30 u - 5.4 = 18 u - 1.8
30 u - 18 u = 5.4 - 1.8
12 u = 3.6
1 u = 0.3
Amount Dana has at first
= 9 u
= 9 x 0.3
= 2.7 (a)
Amount Rachel has in the end
= 10 u - 1.8
= (10 x 0.3) - 1.8
= 1.2 (b)
Answers: (a) $2.70; (b) $1.20
