# Tickets for a school play cost $4 for adults and $2 for students. At the end of the play, the school sold a total of 105 tickets

###### Question:

## Answers

Step-by-step explanation:

Let x represent the number of adult tickets sold and

Let y represent the number of student tickets sold.

At the end of the play, the school sold a total of 105 tickets. This means that

x + y = 105 - - - - - - - - - - - -1

Tickets for a school play cost $4 for adults and $2 for students. The school collected a total of $360 for all the tickets sold. This means that

4x + 3y = 360 - - - - - - - - - 2

Equation 1 and equation 2 are the required system of linear equations

S=number of students

a=number of adults

cost=costadult+costkids

cost=4a+2s

cost=360

360=4a+2s

total tickets is 105

105=s+a

so we got

our equations are

4a+2s=360 and

a+s=105

so wto solve

multiply 2nd equation by -2 and add to first

4a+2s=360

-2a-2s=-210 +

2a+0s=150

2a=150

divide by 2

a=75

sub back

s+a=105

s+75=105

minus 75 both sides

s=30

30 student tickets and 75 adult tickets

equation 1: 4a+2s=360

equation 2: a+s=105