23 of Gillian's money was equal to
14 of Wendy's money at first. After Gillian spent $35 and Wendy spent
35 of her money, Gillian had
12 as much money as Wendy.
- How much money did Wendy have at first?
- How much money did Wendy have in the end?
| |
Gillian |
Wendy |
Comparing Gillian
and Wendy at first |
3x5 =
15 u |
8x5 =
40 u |
| Before |
|
5x8 =
40 u |
| Change |
- $35 |
- 3x8 =
- 24 u |
| After |
|
2x8 =
16 u |
Comparing Gillian
and Wendy in the end |
1x8 =
8 u |
2x8 =
16 u |
23 Gillian's money =
14 Wendy's money
Make numerators the same.
23 Gillian's money =
1x24x2 Wendy's money
23 Gillian's money =
28 Wendy's money
Gillian's money : Wendy's money = 3 : 8
The amount that Wendy had at first is repeated. Make the amount that Wendy had at first the same. LCM of 8 and 5 is 40.
Amount that Gillian spent
= 15 u - 8 u
= 7 u
7 u = 35
1 u = 35 ÷ 7 = 5
(a)
Amount that Wendy had at first
= 40 u
= 40 x 5
= $200
(b)
Amount that Wendy had in the end
= 16 u
= 16 x 5
= $80
Answer(s): (a) $200; (b) $80
