Question

if $76$ is divided into four parts proportional to $7,5,3.4$ then the smallest part is:

• A. $12$
• B. $15$
• C. $16$
• D. $19$

Answer 1

The correct option is A $12$

Four parts proportional to

$7,5,3$ and $4$

$\therefore$ Four part are equal to$7x,5x,3x,$ and $4x.$

$\therefore 7x+5x+3x+4x=76$

$\therefore 19x=76$

$\therefore x=\frac{76}{19}$

$\therefore x=4$

$\therefore 7x=4\times 7=28$

$\therefore 5x=5\times 4=20$

$\therefore 3x=3\times 4=12$

$\therefore 4x=4\times 4=16$

$\therefore$ For parts are $28,20,12$ and $16$.