Question

Write a system of equations for the scenario

JUSD is selling tickets to a district-wide concert. They offer a two-dollar discount off the regular price ticket for bringing a canned food item for donation. On the first day of ticket sales, JUSD collected a total of $213 by selling 14 regular price tickets and 23 tickers with a donation. How much does each type of ticket cost?

Answer 1

System of equation : 14x+23y = 213 and y = x-2

The cost of regular tickets is $7 and the cost of tickets with donation is $5.

Explanation:

Let regular ticket's cost be x and tickets with donation's cost be y.

14x+23y = 213

y = x-2

Now,

14x+23y = 213

or, 14x+23(x-2) = 213

or, 14x + 23x - 46 = 213

or, 37x = 259

so, x = 7

again,

y = x-2

or, y = 7-2

so, y = 5