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

Answer:

The sum of the money shared is $1372

Step-by-step 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

$=\frac{3}{14}\times x=\frac{3x}{14}$ dollars.

Michael's share

$=\frac{5x}{14}$ dollars.

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

$\frac{5x}{14}-\frac{3x}{14}=196$ dollars.

Clear the fraction by multiplying through with 14.

$\Rightarrow 5x-3x=196\times 14$

$\Rightarrow 2x=2744$

Divide both sides by 2 to get;

$\Rightarrow x=1372$