Raju went to the stationery shop to buy some pens and pencils. He bought two times as many pens as pencils. He spent Rs 52 in all. If a pen costs Rs 12 and a pencil Rs 2, how many pens did he buy?

Respuesta :

Answer:

4 pens

Step-by-step explanation:

Let x represent the number of pens bought by Raju and y represent the number of pencils bought by Raju.

Given that Raju bought two times as many pens as pencils, this statement can be represented by:

x = 2y                    (1)

A pen costs Rs 12 and a pencil Rs 2, and he spent a total of Rs. 52, hence:

12x + 2y = 52        (2)

Substituting x = 2y in equation (2):

12(2y) + 2y = 52

24y + 2y = 52

26x = 52

y = 52/26

y = 2

From equation (1), x = 2y, hence:

x = 2(2)

x = 4

x = 4

Therefore he bought 4 pens and 2 pencils

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