Question

1. The county fair charges $1.50 per ticket for the rides. Jermaine bought 20 tickets for the rides and spent a total of $48.75 at the fair. Jermaine spent his money only on ride tickets and fair admission. The price of the fair admission is the same for everyone. Use y to represent the total cost and x to represent the number of ride tickets. (a) Define your variables. (b) Write a linear equation that can be used to determine the cost for anyone who only pays for ride tickets and fair admission.

Answer 1

Answer: Our variable be z for fair admission and our required linear equation will be

$\ 1.50x+z=\ 48.75$

Explanation:

Since we have given that

Cost per ticket for the rides =$1.50

Total amount she spent = $48.75

Let the total cost be y

Let the number of ride tickets be x

a) Define your variable:

Let the amount spent on fair admission be z

b) Write a linear equation that can be used to determine the cost for ride tickets and fair admission:

Our required equation will be

$\ 1.50x+z=\ 48.75$

Here, number of ride tickets = 20

So,

$20\times 1.50+z=48.75\\\\30+z=48.75\\\\z=48.75-30=18.75$

So, the cost for fair admission = $18.75