Question

Admission to the country fair is $4.50 tickets for the rides are $0.50 each

Answer 1

So first, she has $11.00

Then, she has to pay an entry fee of $4.50

$11.00 - $4.50 = $6.50

If the rides are $0.50 each, divide $6.50 by $0.50

$6.50/$0.50=13

She could purchase 13 tickets for the rides.

Answer 2

11=0.50t+4.50
is the initial equation 
then to solve you subtract 4.50 from 11 and get 6.50 next you divide .50 from to to cancel it out and you find that she can buy 13 tickets. But she would have no money left over

Hope that helps :)