SOLUTION: Which equation can be used to determine the number of movie tickets sold if the cost of each ticket was $5.50 and $6,850 was the total dollar amount for tickets sold. The number of

Question 1186762: Which equation can be used to determine the number of movie tickets sold if the cost of each ticket was $5.50 and $6,850 was the total dollar amount for tickets sold. The number of tickets is represented by x.
5.50x = 6850
6850 - x = 5.50
6850 - 5.50 = x
6850x = 5.50
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
cost of each ticket is 5.50.
total amount for tickets sold is 6850.
let x = the amount of tickets sold.

cost of each ticket times number of tickets sold = total price.
total price is 6850.
cost of each ticket is 5.50
let x = number of tickets sold.
therefore:
5.50 * x = 6850.

that would be your first selection.
from 5.50 * x = 6850, divide both sides of that equation by 5.50 to get:
x = 6850 / 5.50.
solve for x to get:
x = 1245.454545...

unfortunately, the problem was not set up properly to give you an integer answer for the number of tickets sold.
that's not the fault of the formula.
the formula of 5.50 * x = 6850 is correct.
this is derived from:
cost of each ticket times number of tickets sold = total price

to confirm that the value of x is good, replace x in the original equation to get:
5.50 * x = 6850.
when x = 1245.454545..., the equation becomes:
5.50 * 1245.454545.... = 6850.
evaluate the equation to get:
6850 = 6850, confirming the value of x is good.

note that 1245.454545..... is equal to 13700/11.
that is the fraction equivalent of 1245.454545......
5.50 * 13700/11 = 6850 is the same formula when the number of tickets is expressed as a fraction.
evaluate the equation to get:
6850 = 6850, confirming, once again, that the number of tickets sold is correct.

RELATED QUESTIONS
An amusement park sold 589 tickets on Monday. The ticket cost for an adult was 17.50, the (answered by math_tutor2020,ikleyn)

The Celluloid Cinema sold 150 tickets to a movoe. Some of these were child tickets and... (answered by josmiceli)

A movie theater charges $9 for an adult�s ticket, $7 for a senior ticket and $6 for a... (answered by josgarithmetic,ikleyn)

At the circus, two adult tickets and five child tickets cost $41, and five adult tickets... (answered by Alan3354)

Students tickets cost 5 dollar each and adult ticket cost 10 dollar each. a total of 4500 (answered by lwsshak3)

Of the 700 tickets sold to a movie, 530 were full-priced tickets costing $6 each. If the (answered by josmiceli)

At the circus, two adult tickets and five child tickets cost $48, and five adult tickets... (answered by josgarithmetic)

tickets to a concert cost $20, $35, or $50 each. the number of $20 tickets sold was... (answered by ikleyn)

A movie theater charges $9 for adults and $7 senior citizens. the total revenue for that... (answered by mananth)