a theater has 144 seats. the theater sells tickets for $6 per adult and $4 per child
Let x be the number of adult tickets
and y be the number of child tickets
Total number of tickets sold is 144
x + y = 144 -----------> equation 1
the theater sells tickets for $6 per adult and $4 per child and earned $660
6x + 4y = 660 ----------> equation 2
Solve for x and y
x + y = 144
y = 144 - x
Now plug it in second equation
6x + 4y = 660
6x + 4(144 - x) = 660
6x + 576 -4x = 660 (combine like terms)
2x + 576 = 660 (subtract 576 from both sides)
2x = 84 (divide by 2)
x= 42
Number of adult tickets = 42
y = 144 - x
y = 144- 42= 102
Number of child tickets = 102