Question

Express the following statements as a linear equation in two variable.

The cost of a pencil is Rs. 2 and one ball point pen costs Rs. 15. Sheela pays Rs. 100 for the pencils and pens she purchased.

Answer 1

Let Sheela purchase $x$ pencils and $y$ ball point pens

Given the cost of pencil is $\text{Rs.}2$ and one ball point pen is $\text{Rs.}15$

Then, cost of $x$ pencils =$2\times x=2x$

And cost $y$ ball point pens=$15\times y=15y$

Total cost $=2x+15y$

Sheela paid a total of $\text{Rs.}100$ for the purchase.

$\therefore 2x+15y=100$

$2x+15-100=0$ is the linear equation obtained.