Question

The sum of the costs of two books and a pencil is £8.00. The difference of cost between 3 books
and 2 pencils is £5.00. Find the cost of a book and a pencil.

Answer 1

Answer:

Let the cost of book is Rs x and cost of pencil is Rs y

Then cost of 4 books and 3 pencil =4x+3y

And cost of 8 books and 1 pencil =8x+y

As per question both are same

4x+3y=8x+y⇒4x−8x=y−3y⇒−4x=−2y⇒x=

2

1

y

Then cost of 4 books and 3 pencil =4x+3y

4×

2

y

+3y=2y+3y=5y Rs

Then cost of 6 books and 2 pencils =6×

2

y

+2y=3y+2y=5y Rs