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

## Answers ( )

1. 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.