Question

Lamonte and his children went into a movie theater and will buy drinks and candies.

He must buy no more than 14 drinks and candies altogether. Write an inequality that
would represent the possible values for the number of drinks purchased, d, and the
number of candies purchased, c.

Answer 1

The inequality representing the number of drinks (d) and candies (c) that Lamonte can buy, where the total number cannot exceed 14, is d + c <= 14.

Step-by-step explanation:

The inequality that represents the possible values for the number of drinks purchased, d, and the number of candies purchased, c, given that Lamonte can buy no more than 14 items in total is:

d + c ≤ 14

This inequality indicates that the combined total of drinks and candies cannot exceed 14. The variables d and c can take on any non-negative integer values as long as their sum is less than or equal to 14. This is similar to a budget constraint problem, where Lamonte is constrained by the maximum number of items he can purchase, rather than the total cost of goods.

Answer 2

Step-by-step explanation:

Let d be the number of drinks purchased and c be the number of candies purchased.

The inequality that represents the possible values for the number of drinks and candies purchased is:

d + c ≤ 14

This inequality states that the sum of the number of drinks and the number of candies purchased must be less than or equal to 14, which represents the constraint that Lamonte cannot purchase more than 14 drinks and candies altogether.