Fanny, Zoe and Jaslyn had a sum of money. The amount of money Fanny had was
45 of the amount of money Zoe had. The ratio of the amount of money Zoe had to the total amount of money Jaslyn and Zoe had was 3: 7. After Jaslyn gave $100 to Zoe, she had as much money as Zoe. How much more money did Jaslyn have than Fanny in the end?
Fanny |
Zoe |
Jaslyn |
4x3 = 12 u |
5x3 = 15 u |
|
|
3x5 = 15 u |
4x5 = 20 u |
12 u |
15 u |
20 u |
The amount that Zoe had is the repeated identity. Make the amount that Zoe had the same. LCM of 5 and 3 is 15.
|
Fanny |
Zoe |
Jaslyn |
Before |
12 u |
15 u |
20 u |
Change |
No change |
+ 100 |
- 100 |
After |
12 u |
15 u + 100 |
20 u - 100 |
The amount that Jaslyn and Zoe had in the end is the same.
20 u - 100 = 15 u + 100
20 u - 15 u = 100 + 100
5 u = 200
1 u = 200 ÷ 5 = 40
Amount that Jaslyn had more than Fanny in the end
= 20 u - 100 - 12 u
= 8 u - 100
= 8 x 40 - 100
= 320 - 100
= $220
Answer(s): $220