Question

A teacher distributor 47 pen among the three students in the ratio 1 upon 3 ratio 1 upon 4 ratio 1 upon 5 ratio. Find the shares of each student

Answer 1

let the share of three students be $\large{\mathrm{ \frac{1}{3} }}$x,$\large{\mathrm{ \frac{1}{4} }}$x,$\large{\mathrm{ \frac{1}{5} }}$x

According to question,

$\large{\mathrm{ \frac{1}{3} }}$x + $\large{\mathrm{ \frac{1}{4} }}$x + $\large{\mathrm{ \frac{1}{5} }}$x = 47

L. C. M. of 3,4 and 5 is 60

( $\large{\mathrm{20x + 15x + 12x }}$ ) ÷ 60 = 47

$\large{\mathrm{ 20x + 15x + 12x }}$ = 47 × 60

$\large{\mathrm{ 47x = 47 × 60 }}$

x = $\large{\mathrm{ \frac{47 × 60}{47} }}$

x = 60

Share of 1st student = 1/3x = 1/3 × 60 = 20 pen

Share of 2nd student = 1/4x = 1/4 × 60 = 15 pen

Share of third student = 1/5x = 1/5 × 60 = 12 pen .

Answer 2

Answer:

If you want to make sure of it is right then ypu can add up the 1st , 2nd and 3rd students, no. of pens.

That is 20 + 15 + 12 = 47

Hope it helps