Q15. - Algebra 1

Question

Write an equation and solve each problem. (Lesson 2.3)

Thirty is twelve added to six times a number. What is the number?

Step-by-Step Solution

Answer

$6x+12=30$ is the required equation, and $x=3$ is the required number.

Step 1. Given Statement.

Thirty is twelve added to six times a number.

Step 2. Description of step.

In order to solve the given problem, first convert the given statement into an equation.

For that, let the unknown number be x.

Then, as given 6 times the number x (i.e. 6x) added to 12(i.e. $6x+12$) is 30, is represented by the equation: $6x+12=30$

 

Now find the value of unknown by solving the above equation, as:

width="95" height="141" style="max-width: none; vertical-align: -65px;" $\begin{array}{c}6x+12=30\\ 6x=30-12\\ 6x=18\\ x=\frac{18}{6}\\ \Rightarrow x=3\end{array}$

Thus, the unknown number is $x=3$.