Question

A person bought $3\frac{1}{2}$kg apples, $2\frac{6}{9}$kg of grapes and $1\frac{5}{8}$kg oranges. He wants to divide them among $4$ people. Find the amount (in kg) each person will receive.

• A. $\frac{273}{288}$
• B. $1\frac{273}{288}$
• C. $1\frac{288}{273}$
• D. $\frac{288}{273}$

Answer 1

The correct option is B

$1\frac{273}{288}$

Total amount of fruits = ($\frac{7}{2}$ + $\frac{24}{9}$ + $\frac{13}{8}$)kg
= $\frac{561}{72}$ kg

When $\frac{561}{72}$ kg is divided among $4$ people,

each person's share = $\left(\frac{561}{72\times 4}\right)$kg
= $\frac{561}{288}$kg
= $1\frac{273}{288}$kg