Splitting a number into 3 parts.

[lingping7]

56520 is to be divided amongst A, B and C so that A receives half as much as B and C receive together and B receives one fourth of what A and C together receive. Then, the share of A is more than the share of B by?

The first step I did was
A = (B+C)/2
B = (A+C)/4

How do I continue further to get the answer

 

[Romsek]

56520 is to be divided amongst A, B and C so that A receives half as much as B and C receive together and B receives one fourth of what A and C together receive. Then, the share of A is more than the share of B by?

The first step I did was
A = (B+C)/2
B = (A+C)/4

How do I continue further to get the answer

3 unknowns, A, B and C so you must have 3 equations.

The two you have are correct. There is one more you can obtain from the information given. Think about it.

 

[lingping7]

Is it C = 2A-B?

 

[Romsek]

Is it C = 2A-B?

After you've shared out all of the items among A and B and C how many are left over?

 

[lingping7]

Thanks for your help! On making all equations in terms of A, then equating the sum to 56250, I get A as 18750 and then B as 11250. So the answer is 7500.
Thanks again!

 

[Romsek]

Thanks for your help! On making all equations in terms of A, then equating the sum to 56250, I get A as 18750 and then B as 11250. So the answer is 7500.
Thanks again!

This doesn't seem to be the correct answer. What is the 3rd equation you obtained?

 

[stapel]

56520 is to be divided amongst A, B and C....

Since the total is split between these three, then A + B + C = ... how much?

 

[lingping7]

The sum is 56520

 

[lingping7]

Yep, mystery cleared.