Question

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

Answer 1

x3 + y1 = 20

Explanation:

Answer 2

x + y ≥ 4

3x + y ≤ 20

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