Gabby, Nora and Zara had a sum of money. The amount of money Gabby had was
34 of the amount of money Nora had. The ratio of the amount of money Nora had to the total amount of money Zara and Nora had was 3: 7. After Zara gave $12 to Nora, she had as much money as Nora. How much more money did Zara have than Gabby in the end?
Gabby |
Nora |
Zara |
3x3 = 9 u |
4x3 = 12 u |
|
|
3x4 = 12 u |
4x4 = 16 u |
9 u |
12 u |
16 u |
The amount that Nora had is the repeated identity. Make the amount that Nora had the same. LCM of 4 and 3 is 12.
|
Gabby |
Nora |
Zara |
Before |
9 u |
12 u |
16 u |
Change |
No change |
+ 12 |
- 12 |
After |
9 u |
12 u + 12 |
16 u - 12 |
The amount that Zara and Nora had in the end is the same.
16 u - 12 = 12 u + 12
16 u - 12 u = 12 + 12
4 u = 24
1 u = 24 ÷ 4 = 6
Amount that Zara had more than Gabby in the end
= 16 u - 12 - 9 u
= 7 u - 12
= 7 x 6 - 12
= 42 - 12
= $30
Answer(s): $30