Question

a valentine’s dance charges $25 for a ticket plus $3 per photo at the photo booth. you want to spend less than $55. what is the inequality for the problem? what is the solution? how many photos can you take? write the answer as a sentence.

Explanation:

Step1: Define variable and inequality

Let $x$ = number of photos. Total cost is ticket + $3 per photo, which must be less than $55:
$25 + 3x < 55$

Step2: Isolate the variable term

Subtract 25 from both sides:
$3x < 55 - 25$
$3x < 30$

Step3: Solve for x

Divide both sides by 3:
$x < \frac{30}{3}$
$x < 10$

Step4: Interpret integer constraint

Photos are whole numbers, so maximum $x$ is 9.

Answer:

1. Inequality: $25 + 3x < 55$
2. Solution: $x < 10$
3. You can take at most 9 photos.