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? y = 12x + 8 y = 12x − 8 y = 14x + 8 y = 14x − 8
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Answered by
21
Answer:
Step-by-step explanation:
y = 12x + 8
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
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Answered by
0
Answer:
yes
Step-by-step explanation:
to make it simple
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