Question 145195
Tickets for a play at the community theater cost $18 for an adult and $10 for a child.  If 80 tickets were sold and the total receipts were $1040, how many of each type of ticket were sold?
.
Let x = adult tickets sold
and y = child tickets sold
then
x + y = 80
18x + 10y = 1040
.
solving eq 1 for x:
x + y = 80
x = 80 - y
.
plug the value of x above into eq 2 and solve for y:
18x + 10y = 1040
18(80 - y) + 10y = 1040
1440 - 18y + 10y = 1040
1440 - 8y = 1040
-8y =-400
y = 50
.
plug the value of y above into eq 1 and solve for x:
x + y = 80
x + 50 = 80
x = 30
.
Tickets sold: 30 adult and 50 child