Problema Solution

some friends went to the local movie theater and bought four large buckets of popcorn and six boxes of candy. The total for the snacks was $46.50. The last time you were at the theater, you bought a large bucket of popcorn and 3 boxes of candy, and the total was $9.75. How much would 2 large buckets of popcorn and 3 boxes of candy cost?

Answer provided by our tutors

Let 'x' the cost of large bucket of popcorn and 'y' the cost of one box of candy, and x>=0, y>=0

4x + 6y = 46.50

x + 3y = 9.75

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click here to see the system of equations solved for x and y

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x = 13.5

y = -1.25

Since the cost of box of candy can not be negative this problem has not solution.