Q75. - Algebra 1

Question

Write and solve the equation for the sentence “Twelve is one fifth a number” What is the number?

Step-by-Step Solution

Answer

The equation for the given problem is $\frac{1}{5}x=12$.

The value of the number is $60$.

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 given problem is:

Twelve is one-fifth of a number.

Let the number be x.

The given problem can be written in the form of an equation as:

$\frac{1}{5}x=12$

Multiply 5 to both sides of the equation.

$\begin{array}{l}5\times \frac{1}{5}x=5\times 12\\ x=60\end{array}$

Therefore, the number is $60$.