Final answer:
To calculate the maximum number of Kool-Aid mix packages that can be purchased with $20, divide $20 by the cost per package ($3.50) to get approximately 5.71, which is rounded down to 5 packages.
Step-by-step explanation:
To find out the maximum number of packages of Kool-Aid mix that can be purchased with $20, we need to first understand the cost per package.
According to the information provided, 2 packages of Kool-Aid mix cost $7. We need to determine the price for one package by dividing the total cost by the number of packages, which is $7 ÷ 2 = $3.50 per package.
Next, to find out how many packages can be purchased with $20, we take the total amount of money available ($20) and divide it by the cost of one package ($3.50). So, $20 ÷ $3.50 = approximately 5.71.
Since we cannot purchase a fraction of a package, we round down to the nearest whole number.
Therefore, the maximum number of packages that can be bought with $20 is 5.