Question

A recipe uses 3 cups of flours to make 48 cookies. How much flour is needed to make 72 cookies ?

Answer 1

Hint: We can solve the above problem by using linear equations in one variable. Let’s take x cups of flour to make 1 cookie . We know that 3 cups of flour are required to make 48 cookies. So we can find the value of x from this equation. We can use this x to find the number of flour required to make 72 cookies.

Complete step by step solution:
3 cups of flour required to make 48 cookies.
Let’s take x number of cups of flours required to make 1 cookies, so from the above statement we can write 48 x = 3
We can find the value of x by dividing both sides by 48. so the value of x is equal to $\dfrac{1}{16}$
The total number of cup required to make 72 cookies is equal to 72x
The value of 72x is equal to $72\times \dfrac{1}{16}$ which is 4.5
So 4.5 cups of flour is required to make 72 cookies.

Note: The above problem is a problem of linear equations in one variable. If the problem has 2 unknown variables to solve, we require 2 equations to solve it or 2 given statements in the question that we can convert to an equation. The number of equations should at least equal the number of unknown variables.