35 of Hilda's money was equal to
12 of Linda's money at first. After Hilda spent $30 and Linda spent
13 of her money, Hilda had
12 as much money as Linda.
- How much money did Linda have at first?
- How much money did Linda have in the end?
| |
Hilda |
Linda |
Comparing Hilda
and Linda at first |
5x1 =
5 u |
6x1 =
6 u |
| Before |
|
3x2 =
6 u |
| Change |
- $30 |
- 1x2 =
- 2 u |
| After |
|
2x2 =
4 u |
Comparing Hilda
and Linda in the end |
1x2 =
2 u |
2x2 =
4 u |
35 Hilda's money =
12 Linda's money
Make numerators the same.
35 Hilda's money =
1x32x3 Linda's money
35 Hilda's money =
36 Linda's money
Hilda's money : Linda's money = 5 : 6
The amount that Linda had at first is repeated. Make the amount that Linda had at first the same. LCM of 6 and 3 is 6.
Amount that Hilda spent
= 5 u - 2 u
= 3 u
3 u = 30
1 u = 30 ÷ 3 = 10
(a)
Amount that Linda had at first
= 6 u
= 6 x 10
= $60
(b)
Amount that Linda had in the end
= 4 u
= 4 x 10
= $40
Answer(s): (a) $60; (b) $40
