Question

a movie theater sells adult tickets for $12 and child tickets for $8. on saturday, the theater sold 340 tickets and collected $3,280 in revenue. how many adult tickets were sold? enter the number only in the space provided.

Explanation:

Step1: Define variables

Let $x$ = number of adult tickets, $y$ = number of child tickets.

Step2: Set up ticket count equation

Total tickets sold: $x + y = 340$

Step3: Set up revenue equation

Total revenue: $12x + 8y = 3280$

Step4: Isolate $y$ from Step2

$y = 340 - x$

Step5: Substitute $y$ into revenue equation

$12x + 8(340 - x) = 3280$

Step6: Simplify and solve for $x$

$12x + 2720 - 8x = 3280$
$4x = 3280 - 2720$
$4x = 560$
$x = \frac{560}{4} = 140$

Answer:

140