Question

It costs $525 for seven adult tickets and twelve

youth tickets to the basketball game. If the
difference in price between an adult ticket and
a youth ticket is $18, find the cost of a youth
ticket.

Answer 1

Youth ticket = $21

Adult ticket = $39

Explanation:

We'll call adult tix x and child tix y. Based on the information given, we can make these two equations:

7x + 12y = 525

x - y = 18

Start by putting x in terms of y with that second equation

x = y + 18

Then substitute that into the first equation:

7(y+18) + 12y = 525

Then solve for y

7y + 126 + 12y = 525

19y = 399

y = 21

If we want the adult price as well, we know

x - 21 = 18

x = 39

Checking the math:

7(39) + 12(21) = 273 + 252 = $525