35 of Esther's money was equal to
14 of Jaslyn's money at first. After Esther spent $104 and Jaslyn spent
35 of her money, Esther had
12 as much money as Jaslyn.
- How much money did Jaslyn have at first?
- How much money did Jaslyn have in the end?
| |
Esther |
Jaslyn |
Comparing Esther
and Jaslyn at first |
5x5 =
25 u |
12x5 =
60 u |
| Before |
|
5x12 =
60 u |
| Change |
- $104 |
- 3x12 =
- 36 u |
| After |
|
2x12 =
24 u |
Comparing Esther
and Jaslyn in the end |
1x12 =
12 u |
2x12 =
24 u |
35 Esther's money =
14 Jaslyn's money
Make numerators the same.
35 Esther's money =
1x34x3 Jaslyn's money
35 Esther's money =
312 Jaslyn's money
Esther's money : Jaslyn's money = 5 : 12
The amount that Jaslyn had at first is repeated. Make the amount that Jaslyn had at first the same. LCM of 12 and 5 is 60.
Amount that Esther spent
= 25 u - 12 u
= 13 u
13 u = 104
1 u = 104 ÷ 13 = 8
(a)
Amount that Jaslyn had at first
= 60 u
= 60 x 8
= $480
(b)
Amount that Jaslyn had in the end
= 24 u
= 24 x 8
= $192
Answer(s): (a) $480; (b) $192
