Question

The hot summer fair is coming to town. Admission to the fair costs $12.99 and each ride costs $1.75. You have $35 to spend at the fair 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 hot summer fair.

Answer 1

Admission cost to the fiar = $12.99.

Each ride cost = $1.75.

Let us assume number of rides = x.

a) Addimission charges + each ride cost *x <= Total money have.

We are given total money have = $35.

We can setup an inequality now

12.99 + 1.75*x <=35.

12.99 +1.75x <=35  is the required inequality.

b) Let us solve this inequality for x.

12.99 +1.75x <=35

Subtracting both sides by 12.99, we get

12.99-12.99 +1.75x <=35-12.99

1.75x <= 22.01.

Dviding both sides by 1.75

1.75x/1.75 <= 22.01/1.75

x< = 12.5771..

We got value of x less than or equal to 12.5771.... Number of rides could be a whole number.

Therefore, 12 are the maximum number of rides you can enjoy at the hot summer fair.