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?

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

Cost of each ticket = $2.00

Admission fee = $2.50

So, the equation would be

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

So, it becomes,

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

2(2x + 3) = -4 + 2(2x + 5)

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 6

4x - 6 + 6 = 4x - 6 + 6

4x = 4x

x = x

unlimited solutions.