Question

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?

Answer 1

1.25x+5 = 2.5x+2

Answer 2

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

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\\\\(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.