Question

a sum of money was to be shared among three friends. Albert, Michael and moses in the ratio of 3:5:6. If Michael received $196 more than Albert, find the sum of money shared ​

Answer 1

The sum of the money shared is $1372

Explanation:

The given ratio is

Albert:Michael:Moses=3:5:6

The total ratio is 3+5+6=14

Let the sum of money shared be $
`x`.

Then Albert's share

`=(3)/(14)* x=(3x)/(14)` dollars.

Michael's share

`=(5x)/(14)` dollars.

If Michael received $196 more than Albert, then the difference between their share is the $196.

`(5x)/(14)-(3x)/(14)=196` dollars.

Clear the fraction by multiplying through with 14.

`\Rightarrow 5x-3x=196* 14`

`\Rightarrow 2x=2744`

Divide both sides by 2 to get;

`\Rightarrow x=1372`