For a school drama performance, student tickets cost $5 each and adult tickets cost $10 each. the sellers collected $3,570 from 512 tickets sold. if c is the number of student tickets sold, which equation can be used to find the amount of tickets sold of each type?

a.10(512 – c) + 5c = 512
b.10(512 – c) + 5c = 3,570
c.5(512 – c) + 10c = 3,570
d.5(512 – c) + 10c 512

b. 10(512 – c) + 5c = 3,570

Step-by-step explanation:

Here c represents the number of student tickets,

Also, the total tickets = 512,

⇒ The number of adult tickets = (512-c),

Now, the student tickets cost $5 each and adult tickets cost $10 each.

Thus, the total amount spent on the tickets = 5c + 10(512-c),

According to the question,

Total amount = $ 3570,

⇒ 5c + 10(512-c) = 3570

Which is the required equation that can be used to find the amount of tickets sold of each type.

Hence, option 'b' is correct.

the solution is h=10 because you add 9 to each side of the equation.

the correct answer is the second option