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Mr. Clarke plans to buy $3$ security cameras to install outside his donut shop. He wants to spend less than $\$450$ on the cameras in all. $\newline$ Let $x$ represent how much Mr. Clarke wants to spend on each camera. Which inequality describes the problem? $\newline$ Choices: $\newline$ (A) $3x \leq 450$ $\newline$ (B) 3x < 450 $\newline$ Solve the inequality. Then, complete the sentence to describe the solution. $\newline$ Mr. Clarke wants to spend less than $\$\_\_\_$ on each camera.

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One-step inequalities: word problems

Full solution

Q. Mr. Clarke plans to buy

3

security cameras to install outside his donut shop. He wants to spend less than

\$450

on the cameras in all.

\newline

Let

x

represent how much Mr. Clarke wants to spend on each camera. Which inequality describes the problem?

\newline

Choices:

\newline

(A)

3x \leq 450

\newline

(B)

3x < 450

\newline

Solve the inequality. Then, complete the sentence to describe the solution.

\newline

Mr. Clarke wants to spend less than

\$\_\_\_

on each camera.

Define Inequality: Mr. Clarke wants to spend less than $\$450$ in total for $3$ cameras. Let $x$ be the cost of one camera. The inequality to represent this situation is 3x < 450, because he wants to spend less than $\$450$ on all three cameras combined.
Solve Inequality: To find the maximum amount Mr. Clarke can spend on each camera, solve the inequality 3x < 450. Divide both sides by $3$ to isolate $x$ : $\newline$ $450 \div 3 = 150$ . So, x < 150.
Final Solution: Mr. Clarke wants to spend less than $\$150$ on each camera. This is the solution to the inequality and answers the question prompt.

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