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 ​$438 was​ collecte

Question

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

Answer 1

438 = 3*x + 2*(182-x) now solver for x to find the number of general admission tickets.

 

 

Answer 2

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 = 438   Total price paid for tickets.

 

Solution by substitution is easier for this one.

Solve one of the equations for either G or S in terms of the other, then substitute that into the other equation.

 

G + S = 182

S = 182 - G

 

3G + 2S = 438

3G + 2 * (182 - G)= 438

3G + 364 -2G = 438

G = 438 - 364 = 74    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 - 74 = 108    Student ID tickets