35 Emma's money was equal to
23 of Hazel's money at first. After Emma spent $2.20 and Hazel spent $1.20, Emma had
23 as much money as Hazel.
- How much did Hazel have at first? Express your answer in 2 decimal places.
- How much did Emma have in the end? Express your answer in 2 decimal places.
| |
Make p the same
(3)x3 |
Emma
(1) |
Hazel
(2) |
Make p the same
(4)x2 |
| Before |
30 u |
10 u |
9 u |
18 u |
| Change |
- 6.6 |
- 2.2 |
- 1.2 |
- 2.4 |
| After |
6 p |
2 p |
3p |
6 p |
35 Emma's money =
23 Hazel's money
610 Emma's money =
69 Hazel's money
Emma's money : Hazel's money = 10 : 9
(3) = (4)
30 u - 6.6 = 18 u - 2.4
30 u - 18 u = 6.6 - 2.4
12 u = 4.2
1 u = 0.35
Amount Hazel has at first
= 9 u
= 9 x 0.35
= 3.15 (a)
Amount Emma has in the end
= 10 u - 2.2
= (10 x 0.35) - 2.2
= 1.3 (b)
Answers: (a) $3.15; (b) $1.30
