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14 April, 11:51

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

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  1. 14 April, 15:43
    0
    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
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