Mathematics: The bexar county fair chargesa $5.00 admission fee plus $1.25 per ticket for the rides. however,atascosa county fair charges a $2.50 admission fee and $2.00 per ticket for rides. write a linear equation that can be used to determine how many tickets would have to be purchased in order to pay the same amount at both county fairs?

22minStep-by-step explanation:...

The bexar county fair chargesa $5.00 admission

tankddd

04.01.2022

There are 3 tickets that would have to be purchased in order to pay the same amount at both country fairs.

Step-by-step explanation:

Since we have given that

Let the number of tickets be 'x'.

Cost of each ticket = $1.25

Admission fee = $5.00

So, the equation would be

1.25x+5.00

Cost of each ticket = $2.00

Admission fee = $2.50

So, the equation would be

2x+2.50

According to question, tickets would have to be purchased in order to pay the same amount at both county fairs.

So, it becomes,

$1.25x+5.00=2.00x+2.50\\\\5-2.50=2x-1.25x\\\\2.50=0.75x\\\\\dfrac{2.50}{0.75}=x\\\\x=3.33....\\\\x\approx 3$

Hence, there are 3 tickets that would have to be purchased in order to pay the same amount at both country fairs.

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