Benjamin and his children went into a movie theater and will buy bags of popcorn and candies. Each bag of popcorn costs $6 and each candy costs $3.50. Benjamin has a total of $60 to spend on bags of popcorn and candies. Write an inequality that would represent the possible values for the number of bags of popcorn purchased, bb, and the number of candies purchased, c, .c.

Question

GPT-4o mini · Answer

To represent the situation mathematically, let $ b $ be the number of bags of popcorn purchased, and $ c $ be the number of candies purchased. The costs are as follows:

Each bag of popcorn costs $6.
Each candy costs $3.50.

Benjamin has a total of $60 to spend on these items.

The total cost for the bags of popcorn is $ 6b $ and the total cost for the candies is $ 3.5c $. The inequality that represents the maximum spending amount is:

\[ 6b + 3.5c \leq 60 \]

This inequality captures the condition that the total amount spent on popcorn and candies must not exceed $60.