George, Cody, Zane and Flynn shared $210. Flynn received
34 of the total amount of money received by George, Cody and Zane. George received
35 of the total amount for Cody and Zane. Cody received
12 as much money as Zane. If Zane gave all his money to Flynn, how much did Flynn have more than Cody in the end?
George |
Cody |
Zane |
Flynn |
Total |
4x6 |
3x6 |
7x6 |
3x3 |
5x3 |
|
|
|
1x5 |
2x5 |
|
|
9 u |
5 u |
10 u |
18 u |
42 u |
The total amount that Cody and Zane have is repeated. Make the total amount of Cody and Zane the same. LCM of 3 and 5 is 15.
The total amount that George, Cody and Zane have is repeated. Make the total amount of George, Cody and Zane the same. LCM of 24 and 4 is 24.
Total amount that George, Cody, Zane and Flynn shared = 42 u
42 u = 210
1 u = 210 ÷ 42 = 5
|
George |
Cody |
Zane |
Flynn |
Before |
9 u |
5 u |
10 u |
18 u |
Change |
|
|
- 10 u |
+ 10 u |
After |
9 u |
5 u |
0 u |
28 u |
Amount that Flynn had if Zane gave him all his money
= 18 u + 10 u
= 28 u
Amount that Flynn had more than Cody
= 28 u - 5 u
= 23 u
= 23 x 5
= $115
Answer(s): $115