Question

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. 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?

y = 12x + 8

y = 12x + 24

y = 14x + 6

y = 14x + 28

Answer 1

y=12x+8 is the correct answer.

Answer 2

The correct option is 1.

Explanation:

Let the cost of a bucket of popcorn is m and the cost of a movie ticket is n.

The cost for a bucket of popcorn and 4 movie tickets is $56.

`m+4n=56` .... (1)

The total cost for the same size bucket of popcorn and 6 movie tickets is $80.

`m+6n=80` .... (2)

Subtract (1) from (2).

`2n=24`

`n=12`

Put this value in equation (1).

`m+4(12)=56`

`m=56-48=8`

The cost for a bucket of popcorn is $8 and the cost of a ticket is $12.

Let x be the number of movie tickets that are purchase.

Then total cost of the popcorn and movie tickets is

`y=12* x+8`

`y=12x+8`

Therefore the required equation is y=12x+8. Option 1 is correct.