Fred bought seven adult and two student tickets for $16. John paid $7 for one adult and five student tickets. Individual costs are:

Adult ticket=$2

Student ticket=$1

Step-by-step explanation:

Let the cost of one adult ticket be $x and the cost of one student ticket be $y

Fred bought 7 adult and 2 student tickets for$16.

So,

7x+2y=16 ... (1)

And, John paid $7 for one adult and 5 student tickets.

So,

x+5y=7 ... (2)

From ... (2),

x=7-5y

Substituting the value of x in equation ... (1),

7 (7-5y) + 2y=16

or, 49-35y+2y=16

or, 33y=33

or, y=1

Now, substituting the value of y in ... (2),

x=7-5=2

Thus, the cost of one adult ticket is $2 and the cost of one student ticket is $1.