Answer:
The correct option is 1.
Step-by-step 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.
[tex]m+4n=56[/tex] .... (1)
The total cost for the same size bucket of popcorn and 6 movie tickets is $80.
[tex]m+6n=80[/tex] .... (2)
Subtract (1) from (2).
[tex]2n=24[/tex]
[tex]n=12[/tex]
Put this value in equation (1).
[tex]m+4(12)=56[/tex]
[tex]m=56-48=8[/tex]
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
[tex]y=12\times x+8[/tex]
[tex]y=12x+8[/tex]
Therefore the required equation is y=12x+8. Option 1 is correct.
