35 of Hazel's money was equal to
12 of Jane's money at first. After Hazel spent $9 and Jane spent
13 of her money, Hazel had
12 as much money as Jane.
- How much money did Jane have at first?
- How much money did Jane have in the end?
| |
Hazel |
Jane |
Comparing Hazel
and Jane at first |
5x1 =
5 u |
6x1 =
6 u |
| Before |
|
3x2 =
6 u |
| Change |
- $9 |
- 1x2 =
- 2 u |
| After |
|
2x2 =
4 u |
Comparing Hazel
and Jane in the end |
1x2 =
2 u |
2x2 =
4 u |
35 Hazel's money =
12 Jane's money
Make numerators the same.
35 Hazel's money =
1x32x3 Jane's money
35 Hazel's money =
36 Jane's money
Hazel's money : Jane's money = 5 : 6
The amount that Jane had at first is repeated. Make the amount that Jane had at first the same. LCM of 6 and 3 is 6.
Amount that Hazel spent
= 5 u - 2 u
= 3 u
3 u = 9
1 u = 9 ÷ 3 = 3
(a)
Amount that Jane had at first
= 6 u
= 6 x 3
= $18
(b)
Amount that Jane had in the end
= 4 u
= 4 x 3
= $12
Answer(s): (a) $18; (b) $12
