Question

Aperson spent564 rupees in buying pens and pencil if cost of each pen is 7 rupees and each pencil is3 rupees and if the total number of things bought was108,how many of each type did he buy​

Answer 1

Answer:

60 pens

48 pencils

Step-by-step explanation:

Let the no of pens and pencils be x and y respectively.

x+y=108 (as total no of things bought were 108) [eq i]

Now each pen cost rupees 7

Therefore x no of pens cost 7*x=7x

Each pencil cost rupees 3.

Therefore y no of pencils cost 3*y=3y.

Now total money spent=₹564.

So, 7x+3y=564...[eq ii]

7x+3y=564

3(x+y)=108×3

=324

7x+3y=564

3x+3y=324

Subtracting,

4x=240

x=60

y=108-60

=48

No of pens=60

No of pencils=48

Hope this helps