benjamin and his children went into a movie theater and will buy bags of popcorn and candies. each bag of…

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, b, and the number of candies purchased, c.

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, b, and the number of candies purchased, c.

Answer

Answer:

$6b + 3.5c\leq60$

Explanation:

Step1: Calculate cost of popcorn

The cost of each bag of popcorn is $6$ and the number of bags is $b$, so the total cost of popcorn is $6b$.

Step2: Calculate cost of candies

The cost of each candy is $3.5$ and the number of candies is $c$, so the total cost of candies is $3.5c$.

Step3: Set up inequality

Benjamin has a total of $60$ to spend. The sum of the cost of popcorn and candies must be less than or equal to $60$. So, $6b + 3.5c\leq60$.