Finding length of clothes

Question

There are three types of clothes:

A- Rs. 1 for 5mtrs
B- Rs. 5 for 1mtr
C- Rs. 1 for 1.5mtrs

How much cloth is required for each type in mtrs, So that total for Rs. 5 we get total 5mtrs cloth?

Answer 1

Hint:

Suppose we take $x, y$ and $z$ metres of the cloth materials $A, B$ and $C$ respectively. Now, we have the following linear equations: \begin{align} \frac{x}{5} + 5y + \frac{2z}{3} & = 5\\ x + y + z & =5 \end{align}

Can you take it from here?

Answer 2

Or, in other words, you want the solution to the system $$x+y+z=5,\,x+5y+z=5,$$ where the variables denote the length of each type of cloth respectively. Unless you know something else there are infinitely many solutions, and in each of these cases you'd have to do without cloth $B.$