Atheater has 144 seats. the theater sells tickets for $6 per adult and $4 per child. if the theater sold out on friday night and earned $660, how many adult tickets and child tickets were sold friday night?

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

what are the options? ?

step-by-step explanation: