Question

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

Answer 1

Adult ticket=$2

Student ticket=$1

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.