Q71. - Algebra 1

Question

If l represents the length of a man’s foot in inches, the expression $2l-12$ can be used to estimate his show size. What is the approximate length of a man’s foot if he wears a size 8?

Step-by-Step Solution

Answer

The equation for the given problem is $2l-12=8$.

The approximate length of the man’s foot is 10 inches.

Step-1. Apply the concept of Variables and constant.

Variables: - In any expression or equation, the variable is an unknown quantity. It may be any alphabet or any special symbol.

Constants: - In any expression or equation, the constants are the values that are fixed.

While performing addition in an equation, the same kind of elements or like terms are added together.

Step-2. Concept of equation.

Equations: - Equations are the statements in which two expressions are equal. The expression can be created by variables, constants, numbers and symbols.

Step-3. Solution of the given problem.

The expressions $2l-12$ is used to estimate a man’s shoe size.

The man wears size 8.

 

So, the equation will be $2l-12=8$.

Now, solve the equation $2l-12=8$.

Add 12 to both sides of the equation.

$\begin{array}{l}2l-12+12=8+12\\ 2l=20\end{array}$

Multiply $\frac{1}{2}$ to both sides of the equation.

$\begin{array}{l}\frac{1}{2}\times 2l=\frac{1}{2}\times 20\\ l=10\end{array}$

Therefore, the approximate length of the man’s foot is 10 inches.