The admission fee to the carnival is $4.50 for children and $7.25 for adults. If a large group purchased 28 tickets and paid $159 how many adult tickets did they purchase?

11.636 = 12 tickets to a whole figure

Step-by-step explanation:

Let the number of adult tickets be x and y represent children tickets.

From the question;

x + y = 28 equation (i)

(7.25*x) + (y*4.50) = 158

7.25x + 4.50y = 158 equation (ii)

From equation (i);

x + y = 28

y = 28 - x equation (iii)

Put equation (iii) into equation (ii)

7.25x + 4.50(28 - x) = 158

7.25x + 126 - 4.50x = 158

Collect like terms and subtract

2.75x = 32

x = 11.636 approximately 12 to a round number.

Put x = 11.636 into equation (i)

11.636 + y = 28

y = 28 - 11.636

y = 16.364 approximately 16 to a whole number