Question

Tickets of a program at college cost $3 for general admission or $2 with a student ID.If 182 people paid to see a performance and $440 was collected, how many ofeach type of ticket were sold?In a program at college ____ tickets were sold for general admission and ____ tickets were sold with a student ID.

Answer 1

Given that

This is a system of equations problem.

Let G = the number of general admission tickets and S = the number of student ID tickets.

G + S = 182 Total tickets.

3G + 2S = 440 Total price paid for tickets.

G + S = 182

S = 182 - G

3G + 2S = 440

3G + 2 * (182 - G)= 440

3G + 364 -2G = 440

G = 440 - 364 = 76 General admission tickets

Substitute this into either equation and solve for S.

We already solved one for S symbolically, so we'll use that.

S = 182 - G

S = 182 - 76 = 106 Student ID tickets

In a program at college __76__ tickets were sold for general admission and _106___ tickets were sold with a student ID.