Question

The fairy tale spectacular is coming to town. Admission to the fair costs $32.50 and each ride costs $.80. You have $50 to spend at the fairy tale spectacular including admission.
Part A: write an inequality that represents this situation.

Part B: solve the inequality to determine the maximum number of rides you can enjoy at the fairy tale spectacular.

Answer 1

Solution:

we are given that

The fairy tale spectacular is coming to town. Admission to the fair costs $32.50 and each ride costs $.80.

You have $50 to spend at the fairy tale spectacular including admission.

Suppose you took x ride, then we can write.

So the inequality can be written as below:

$32.50+0.80x\leq 50$

PartB:

Now lets solve the inequality

$32.50+0.80x\leq 50\\\\ 0.80x\leq 50-32.50\\\\0.80x\leq 17.50\\\\x\leq 21.875$

Hence you can take a maximum of 21 rides.