Question

A chair costs Rs 250 and a table costs Rs 400. If a housewife purchased a certain number of chairs and two tables of Rs 2800, find the number of chairs she purchased.

Answer 1

Hint: Let the number of chairs she purchased be x. Using the information that she purchased x chairs and 2 tables for the total of Rs 2800, form a linear equation in one variable:
250 x + 400 $\times $ 2 = 2800. Solve this equation to find the value of x which is our final answer.

Complete step-by-step answer:
In this question, we are given that a chair costs Rs 250 and a table costs Rs 400. A housewife purchased a certain number of chairs and two tables of Rs 2800.

We need to find the number of chairs she purchased.

Let the number of chairs she purchased be x.

We are given the following:

Cost of 1 chair = Rs. 250

Cost of 1 table = Rs. 400

Now, we are given that she purchased x chairs and 2 tables for the total of Rs 2800.
We can write this in the form of a linear equation in one variable in the following way.

250 x + 400 $\times $ 2 = 2800

250 x + 800 = 2800

250 x = 2000

x = $\dfrac{2000}{250}=8$

So, the total number of chairs the housewife purchased are 8 chairs.

Note: In this question, it is very important to understand the question. Using this understanding, you have to form a linear equation in one variable very carefully where the variable is the number of chairs she bought.