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.
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