35 of Jaslyn's money was equal to
14 of Julie's money at first. After Jaslyn spent $143 and Julie spent
35 of her money, Jaslyn had
12 as much money as Julie.
- How much money did Julie have at first?
- How much money did Julie have in the end?
| |
Jaslyn |
Julie |
Comparing Jaslyn
and Julie at first |
5x5 =
25 u |
12x5 =
60 u |
| Before |
|
5x12 =
60 u |
| Change |
- $143 |
- 3x12 =
- 36 u |
| After |
|
2x12 =
24 u |
Comparing Jaslyn
and Julie in the end |
1x12 =
12 u |
2x12 =
24 u |
35 Jaslyn's money =
14 Julie's money
Make numerators the same.
35 Jaslyn's money =
1x34x3 Julie's money
35 Jaslyn's money =
312 Julie's money
Jaslyn's money : Julie's money = 5 : 12
The amount that Julie had at first is repeated. Make the amount that Julie had at first the same. LCM of 12 and 5 is 60.
Amount that Jaslyn spent
= 25 u - 12 u
= 13 u
13 u = 143
1 u = 143 ÷ 13 = 11
(a)
Amount that Julie had at first
= 60 u
= 60 x 11
= $660
(b)
Amount that Julie had in the end
= 24 u
= 24 x 11
= $264
Answer(s): (a) $660; (b) $264
