The total cost for a bucket of popcorn and 4 movie tickets is $56. The total cost for the same size bucket of popcorn and 6 movie tickets is $80. The cost of a bucket of popcorn is $8. Which equation represents the relationship between y, the total cost of the popcorn and movie tickets, and x, the number of movie tickets that are purchased?

Question

Mercury · Answer

answer choices:

y=12x+8
y=12x+24
y=4x+6
y=14x+28

Mercury · Answer

the question isn't worded well but I believe it's asking for the price (y) of (x) movie tickets, along with one bucket of popcorn ($8). therefore, we need to find the price of one movie ticket.

total price = (price of 1 popcorn bucket)(# of buckets) + (price of one ticket)(# of tickets)

we are told that 1 bucket of popcorn ($8) and 4 tickets cost $56. if we let t = price of one ticket, then

56 = 8 + 4t

solve for t. then, go back to the original equation, plug in the t-value for the price of tickets to get the equation in terms of x.