Question

$75.00 is shared among 3 people in the ratio 2:4:9 how much is the largest share?

Answer 1

The ratio is 2:4:9, so we can consider the total parts we are dividing the total as 2+4+9 = 15.

Then, the first person receives 2/15, the second receives 4/15 and the third receives 9/15.

As the total is 75, we can calculate each part as:

`\begin{gathered} p_1=75*(2)/(15)=10 \\ \\ p_2=75*(4)/(15)=20 \\ \\ p_3=75*(9)/(15)=45 \end{gathered}`

Then, the largest share correspond to the third person and is $45.00.

Answer: $45.00