14 of Lynn's money was equal to
15 of Julie's money at first. After Lynn spent $42 and Julie spent
13 of her money, Lynn had
12 as much money as Julie.
- How much money did Julie have at first?
- How much money did Julie have in the end?
| |
Lynn |
Julie |
Comparing Lynn
and Julie at first |
4x3 =
12 u |
5x3 =
15 u |
| Before |
|
3x5 =
15 u |
| Change |
- $42 |
- 1x5 =
- 5 u |
| After |
|
2x5 =
10 u |
Comparing Lynn
and Julie in the end |
1x5 =
5 u |
2x5 =
10 u |
14 Lynn's money =
15 Julie's money
Make numerators the same.
14 Lynn's money =
1x15x1 Julie's money
14 Lynn's money =
15 Julie's money
Lynn's money : Julie's money = 4 : 5
The amount that Julie had at first is repeated. Make the amount that Julie had at first the same. LCM of 5 and 3 is 15.
Amount that Lynn spent
= 12 u - 5 u
= 7 u
7 u = 42
1 u = 42 ÷ 7 = 6
(a)
Amount that Julie had at first
= 15 u
= 15 x 6
= $90
(b)
Amount that Julie had in the end
= 10 u
= 10 x 6
= $60
Answer(s): (a) $90; (b) $60
