The County Fair has to 2 ticket options.Option 1 has an entry fee of $5 and charges $0.65 per ride per ride. Option 2 has an entry fee of $1

Question

The County Fair has to 2 ticket options.Option 1 has an entry fee of $5 and charges $0.65 per ride per ride. Option 2 has an entry fee of $10 and charges $0.45 per ride.How many tickets would have to be purchased for the total cost of option one and option two to be the same.

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Vivian 2 months 2021-10-15T19:38:04+00:00 1 Answer 0 views 0

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    2021-10-15T19:39:11+00:00

    For 25 tickets total cost of option one and option two to be the same.

    Step-by-step explanation:

    Let us assume the total number of rides = m

    for which BOTH options cost same.

    Case: 1

    The cost of entry fee  = $5

    The cost per ride = $0.65

    So, the cost of m rides  = m x ( Cost of 1 ride )  

    =  m x ($0.65 ) = 0.65 m

    Cost of purchasing m tickets in first ride  = Entry Fee + Per ticket cost

                                                                           = 5 +0.65 m    ….. (1)

    Case: 2

    The cost of entry fee  = $10

    The cost per ride = $0.45

    So, the cost of m rides  = m x ( Cost of 1 ride )  

    =  m x ($0.45 ) = 0.45 m

    Cost of purchasing m tickets in second ride  = Entry Fee + Per ticket cost

                                                                           = 10 +0.45 m    ….. (2)

    Now, equating (1) and (2), we get:

    5 +0.65 m = 10 +0.45 m

    or, 0.20 m = 5

    or, m = 5/0.20  = 25

    or, m = 25

    Hence, for 25 tickets total cost of option one and option two to be the same.

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