Answer: The required equation is, y = 8 + 12 x
Explanation:
Let p be the price of one bucket of popcorn and t be the price of one ticket,
Since, the total cost for a bucket of popcorn and 4 movie tickets is $56
⇒ p + 4t = 56 -------(1)
And, the total cost for the same size bucket of popcorn and 6 movie tickets is $80.
⇒ p + 6t = 80 -------(2)
Equation (1) - Equation (2),
⇒ -2 t = - 24 ⇒ t = 12
By substituting this value in equation (1),
We get, p + 48 = 56 ⇒ p = 8
Thus, the price of one bucket of popcorn = $8
And, the price of one ticket = $12
Thus, the total price (y) of one bucket of popcorn and x tickets is,
y = 8 + 12 x
Which is the required equation.