County fair charges 1.25 per ticket for rides. Tom bought 25 ride tickets and spent a total of $43.75 total for rides and admission. The price of admission is the same for everyone. Use y to represent total cost and x for the number of tickets.

Define variables

Write linear equation to determine the cost for rides tickets and admission

The linear equation is 1.25x + 0.5x = y

Step-by-step explanation:

1. Let's review the data given to us for solving the question:

Price of ride ticket at country fair = US$ 1.25

Total spent by Tom for rides and admission = US$ 43.75

Number of ride tickets bought by Tom = 25

Price of admission is the same for everyone

Total cost = y

Number of tickets = x

2. Let's find out the cost of the admission:

Total cost of ride tickets + Total cost of admission = Total cost of rides tickets and admission

Replacing with real values:

1.25 * 25 + Cost of admission * 25 = 43.75

31.25 + 25 * Cost of admission = 43.75

25 * Cost of admission = 43.75 - 31.25 (Subtracting 31.25 at both sides)

25 * Cost of admission = 12.50

Cost of admission = 12.50/25 (Dividing by 25 at both sides)

Cost of admission = 0.50

3. Let's write a linear equation to determine the cost for rides tickets and admission:

Total cost of ride tickets + Total cost of admission = Total cost of rides tickets and admission

Total cost = y

Number of tickets = x

1.25x + 0.5x = y