Question

Theater Total Value of Ticket Sales
A $1,600
B $2,000
C $1,800
D $4,800
E $3,200

The table above shows the total value of the ticket sales for an afternoon show in each of five movie theaters.
There were 300 tickets that were sold for each theater. The tickets cost $8 for each adult and $4 for each child.
In which theater was the number of children twice the number of adults?

Answer 1

If there is twice as many children multiply 4 by 2 to get 8 +8 adults =16 the answer should be know obvious.

Answer 2

x+y=300 where x = adults and y = children
you know that there are twice as many children as adults, therefore y=2x. plug this back into the equation.
x+2x=300 solve this to get x=100. plug this x value into the original equation x+y=300 and you get y=200. 100*8=800, the cost of 100 adult tickets. 200*4=800, the cost of 200 child tickets. total cost = 800+800=1600=A