Question

The sum of two and ten times a number is 202. What is the number?

A) Translate the statement above into an equation that you can solve to answer this question. Do not solve it yet. Use x
as your variable.
B) Solve your equation in part [A] for

Answer 1

Answer:

A) $2 + 10x = 202$

B) $x = 20$

Step-by-step explanation:

A) Let's translate the statement into an equation:

The sum of two and ten times a number is 202. Let's represent the number as $x$.

The sum of two and ten times the number $x$ can be expressed as:

$2 + 10x = 202$

B) Now, we need to solve the equation $2 + 10x = 202$ for $x$.

First, let's isolate the term containing $x$ by subtracting 2 from both sides:

$2 +10x -2= 202 - 2$

$10x = 200$

Now, divide both sides by 10 to solve for $x$:

$\dfrac{10x}{10} = \dfrac{200}{10}$

$x = 20$

So, the number is $x = 20$.