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

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