35 Raeann's money was equal to
23 of Emma's money at first. After Raeann spent $2.10 and Emma spent $0.70, Raeann had
45 as much money as Emma.
- How much did Emma have at first? Express your answer in 2 decimal places.
- How much did Raeann have in the end? Express your answer in 2 decimal places.
|
Make p the same (3)x5 |
Raeann (1) |
Emma (2) |
Make p the same (4)x4 |
Before |
50 u |
10 u |
9 u |
36 u |
Change |
- 10.5 |
- 2.1 |
- 0.7 |
- 2.8 |
After |
20 p |
4 p |
5p |
20 p |
35 Raeann's money =
23 Emma's money
610 Raeann's money =
69 Emma's money
Raeann's money : Emma's money = 10 : 9
(3) = (4)
50 u - 10.5 = 36 u - 2.8
50 u - 36 u = 10.5 - 2.8
14 u = 7.7
1 u = 0.55
Amount Emma has at first
= 9 u
= 9 x 0.55
= 4.95 (a)
Amount Raeann has in the end
= 10 u - 2.1
= (10 x 0.55) - 2.1
= 3.4 (b)
Answers: (a) $4.95; (b) $3.40