A snack stand sells bags of popcorn for $1 each and bags of peanuts for $2 each. If no more than $30 worth of bags of peanuts and popcorn were sold one evening, and at least 8 of the bags sold were popcorn, what is the maximum number of bags of peanuts that could have been sold that evening?
Question
A snack stand sells bags of popcorn for 2 each. If no more than $30 worth of bags of peanuts and popcorn were sold one evening, and at least 8 of the bags sold were popcorn, what is the maximum number of bags of peanuts that could have been sold that evening?
Solution
Step 1: Identify the given information. We know that popcorn costs 2 per bag, no more than $30 was made, and at least 8 bags of popcorn were sold.
Step 2: Calculate the minimum amount spent on popcorn. Since at least 8 bags of popcorn were sold, and each bag costs 8.
Step 3: Calculate the remaining amount that could have been spent on peanuts. Subtract the minimum amount spent on popcorn from the total amount made. So, 8 = $22.
Step 4: Calculate the maximum number of bags of peanuts that could have been sold. Since each bag of peanuts costs 22 / $2 = 11 bags.
Therefore, the maximum number of bags of peanuts that could have been sold that evening is 11.
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