A full price ticket for a college basketball game costs $2.50, and a student ticket costs $1.75. If 585 tickets were sold and the total receipts were $1,217.25, how many tickets were student tickets?
You should have as many students and non-studentsas follows:
Students=327 x $1.75=$572.25
Others 258 x $2.50 =$645.00
A full price ticket for a college basketball game costs $2.50, and a student ticket costs $1.75. If 585 tickets were sold and the total receipts were $1,217.25, how many tickets were student tickets?
Let's see how to get the answer....step-by-step.....
Let x be the number of student tickets and (585-x ) the number of full-price tickets....and we know that......
1.75x + 2.50 (585 - x) = 1217.25 simplify
1.75x + 1462.50 - 2.50x = 1217.25
-.75x + 1462.50 = 1217.25 subtract 1462.50 from both sides
-.75 x = -245.25 divide both sides by -.75x
x = 327 ......and this is the number of student tickets
And (585 - 327) = 258 and this is the number of full-price tickets