Question

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

Answer 1

it is d because 5(512-c)+10c 512 ok it could be the answer

Answer 2

b.10(512 – c) + 5c = 3,570

Explanation:

Here, c represents the number of student tickets sold,

∵ total persons = 512 (in which some are students and some are students)

So, the number of adult tickets = 512 - c

Since, each student tickets cost $5 and each adult tickets cost $10 each,

∴ The total spending in tickets = ( 5c + 10(512-c) ) dollars,

According to the question,

Total spending = $3,570,

⇒ 5c + 10(512-c) = 3,570

Hence, option 'b' is correct.