For a Saturday matinee, adult tickets cost $7.50 and kids under 12 pay only $5.00. If 66 tickets are sold for

for a total of $412.50, how many of the tickets were adult tickets and how many were sold to kids under 12?
I'm really killing myself trying to find right equation to solve this if anyone could help

Step 1, Write down the unknown.

Let x = tickets

Step 2, Write the knowns.

adult tickets = $7.50

kids under 12 = $5.00

Step 3, Write the equation.

7.5x + 5x = 412.5

Step 4, Combine like term.

12.5x = 412.5

Step 5, Divide 12.5 to both sides of the equal sign.

12.5x / 12.5 = 412.5 / 12.5

x = 33

Step 6, Total tickets sold between adult and kids .

66 - 33 = 33

The tickets for adults is 33 and tickets for kids is 33.

For a Saturday matinee,
adult tickets cost $7.50 and kids under 12 pay only $5.00.
If 66 tickets are sold for a total of $412.50, how many of the tickets were
adult tickets and how many were sold to kids under 12?

A + K = 66
7.5A + 5K = 412.5
5A + 5K =330
2.5A = 82.5
A = 33
33 adult tickets and 33 kids tickets were sold.

Let a = # of adult tickets sold and k = # of kid tickets sold.
a + k = 66
7.5a + 5k = 412.5
solve the system of equations:
a = 66 - k
7.5(66 - k) + 5k = 412.5
495 - 7.5k + 5k = 412.5
-2.5k = -72.5
k = 29
a = 66 - 29 = 37