Anushka has kept four erasers, some pencils and some sharpeners in a bag. The number of sharpeners is one-fourth of the number of pencils. How many pencils does she have, if the total number of the three items is 49?

Correct option is D

Given:

Anushka has 4 erasers, some pencils, and some sharpeners in a bag.

The number of sharpeners is one-fourth of the number of pencils.

The total number of these three items is 49.

Solution:
Let the number of pencils be x.
The number of sharpeners is one-fourth of the number of pencils, so the number of sharpeners will be $$\frac{x}{4}.$$​​

The total number of items is the sum of erasers, pencils, and sharpeners, which is given as 49. Thus:

4 (erasers)+x (pencils)+$$\frac x4$$​ (sharpeners)=49

4 $$+ x + \frac{x}{4} = 49$$​

x + $$\frac{x}{4} = 45$$​

5x = 180

x = $$\frac{180}{5} = 36$$​
Anushka has 36 pencils.