Question

A greeting card costs Rs. 3 and a ream of photocopy paper costs Rs. 8. Amir paid Rs. 32 for ’x’ cards and ‘y’ reams of paper. Write a linear equation based on the information above.

Answer 1

Hint:
In this question, we will use the basic concept of linear equations. First, we understand what linear equations? It is a combination of constants and variables. The standard form of a linear equation in one variable is represented as (ax + b = 0) where, $a \ne 0$ and x is the variable, $ax + by + c = 0$ where, $a \ne 0,\,b \ne 0$, x and y are variables.
In other ways, a linear equation is achieved by relating zero to a linear polynomial over any field, from which the Coefficients are obtained.
General form of linear equation:
$ \Rightarrow y = Mx + C$

Complete step by step solution:
Amir purchased cards and reams of paper.
Now, 1 card cost Rs.3 and he bought x cards
So, in total, he purchased cards of worth 3x.
Similarly, for reams of paper, he paid 8y.
Total money he paid = Rs. 32

Hence, our equation becomes $= 3x + 8y = 32$

Note:
Students can also solve this question in a short way. Let’s see how can we solve it:
Cost of card = Rs. 3
Cost of ream of photocopy paper = Rs. 8
Let,
Number of cards $= x$
Number of reams of photocopy paper $= y$
Total money paid by Amir $= Rs. 32$
Linear equation formed $= 3x + 8y = 32$