Question

1. tickets to a drama production were sold at $7.50 for adults and $6.00 for children. if 10 tickets were sold for a total of $72, how many adult tickets were sold? solve for y (eliminate) x

y=number child tickets
x=number adult tickets

Explanation:

Step1: Define total tickets equation

$x + y = 10$

Step2: Isolate child ticket variable

$y = 10 - x$

Step3: Define total revenue equation

$7.50x + 6.00y = 72$

Step4: Substitute y into revenue equation

$7.50x + 6.00(10 - x) = 72$

Step5: Expand and simplify equation

$7.50x + 60 - 6.00x = 72$
$1.50x + 60 = 72$

Step6: Solve for x

$1.50x = 72 - 60$
$1.50x = 12$
$x = \frac{12}{1.50}$

Answer:

8 adult tickets were sold.