A group of friends is buying popcorn and soda at the movies. They want to buy at least 4 items, and can spend up to $20.00. Popcorn costs $3.00 each and soda costs $1.00 each. Let x represent the number of popcorns purchased, and y the number of sodas. Which system of inequalities represent this situation

Question

Mathematics

Ishaan Peters

9 October, 12:54

A group of friends is buying popcorn and soda at the movies. They want to buy at least 4 items, and can spend up to $20.00. Popcorn costs $3.00 each and soda costs $1.00 each. Let x represent the number of popcorns purchased, and y the number of sodas. Which system of inequalities represent this situation

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Answers (2)

Know the Answer?

Deandre Wolf · Answer 1

x3 + y1 = 20

Xavier Cross · Answer 2

x + y ≥ 4

3x + y ≤ 20

Step-by-step explanation:

Since 'x' represents the number of popcorns and 'y' represents the number of sodas, the amount they want to purchase is at least 4 items. So, the sum of these two must be greater than or equal to 4:

x + y ≥ 4

Given that they only have $20.00 to spend and the cost of popcorn is $3 and a soda costs $1, the sum can be at most $20:

3x + y ≤ 20