Question

The Fall Festival charges $0.75 per ticket for the rides. Kendall bought 18 tickets for rides and spent a total of $33.50 at the festival. She only spent her money on ride tickets and admission into the festival. The price of 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 to calculate the cost for anyone who only pays for festival admission and rides
(c) Explain your answer to Part B.

Answer 1

a) Here x represent number of ride tickets

z represent admission fees. = $20

y represent total cost.

Explanation:

a) Here x represent number of ride tickets

z represent admission fees.

y represent total cost.

b) Given that,

$0.75 per ticket for the rides.

Number of tickets (x) = 18

Total spent (y) = $33.50

Total cost = (number of tickets)*(price per ticket) + admission fees

y =0.75x + a

We can calculate the cost for anyone who only pays for festival admission and rides.

c)

Put y = 33.50

x = 18

33.50 = 0.75*18 + a

33.50 = 13.5 + a

Solve for a,

Subtract 13.50 both the side

33.50 - 13.50 = 13.50-13.50 + a

20 = a

So, admission cost (a) = $20