Question

lilly goes to the fair where it costs $6 to get in and $.75 a ride. if she can spend at most $24, what is the greatest number of rides she can ride at the fair?

Explanation:

Step1: Define variable and inequality

Let $x$ = number of rides. Total cost: entry + ride cost ≤ max budget
$$6 + 0.75x \leq 24$$

Step2: Isolate the ride cost term

Subtract 6 from both sides
$$0.75x \leq 24 - 6$$
$$0.75x \leq 18$$

Step3: Solve for x

Divide both sides by 0.75
$$x \leq \frac{18}{0.75}$$
$$x \leq 24$$

Answer:

24