13 of Winnie's money was equal to
12 of Gillian's money at first. After Winnie spent $20 and Gillian spent
14 of her money, Winnie had
13 as much money as Gillian.
- How much money did Gillian have at first?
- How much money did Gillian have in the end?
| |
Winnie |
Gillian |
Comparing Winnie
and Gillian at first |
3x2 =
6 u |
2x2 =
4 u |
| Before |
|
4x1 =
4 u |
| Change |
- $20 |
- 1x1 =
- 1 u |
| After |
|
3x1 =
3 u |
Comparing Winnie
and Gillian in the end |
1x1 =
1 u |
3x1 =
3 u |
13 Winnie's money =
12 Gillian's money
Make numerators the same.
13 Winnie's money =
1x12x1 Gillian's money
13 Winnie's money =
12 Gillian's money
Winnie's money : Gillian's money = 3 : 2
The amount that Gillian had at first is repeated. Make the amount that Gillian had at first the same. LCM of 2 and 4 is 4.
Amount that Winnie spent
= 6 u - 1 u
= 5 u
5 u = 20
1 u = 20 ÷ 5 = 4
(a)
Amount that Gillian had at first
= 4 u
= 4 x 4
= $16
(b)
Amount that Gillian had in the end
= 3 u
= 3 x 4
= $12
Answer(s): (a) $16; (b) $12
