Question

A shopkeeper has some pens, out of which, 1/3rd are blue, 1/4 th
are black, and the remaining are green. If he has 10 green pens, how many pens does he have in total?​

Answer 1

Answer:

let me solve this in copy wait please

Answer 2

Answer:

the number of pens that the shop keeper have is 24              

Step-by-step explanation:

Given data  

A shop keeper has some pens

in total number of pens 1/3rd  are blue

                                       1/4th are black

and remaining 10 pens are green    

here we need to find total number of pens  

let x be the total number of pens  

⇒ from given data  

number of blue pens = $\frac{1}{3} x$  

number of black pens = $\frac{1}{4} x$  

total number of blue and black pens = $\frac{1}{3} x + \frac{1}{4} x$  = $\frac{4x+3x}{12}$  = $\frac{7x}{12}$  

remaining green pens = x - $\frac{7x}{12}$  =  $\frac{12x-7x}{12}$  = $\frac{5x}{12}$  

from given data number of green pens = 10 = $\frac{5x}{12}$  

                                                         ⇒      5x = 10(12)

                                                         ⇒       5x = 120  

                                                         ⇒         x = 24

⇒  the number of pens that the shop keeper have is 24