Question

Cai and his children went into a movie theater and will buy drinks and candies. Each drink costs $4 and each candy costs $5. Cai has a total of $85 to spend on drinks and candies. Write an inequality that would represent the possible values for the number of drinks purchased, dd, and the number of candies purchased, c.

Answer 1

The inequality representing the possible values for the number of drinks (d) and candies (c) Cai can purchase with $85 is: 4d + 5c ≤ 85.

Step-by-step explanation:

The student is asking about creating an inequality to represent a budget constraint for the purchase of drinks and candies at a movie theater.

To establish the inequality, we know each drink costs $4 (let's represent the number of drinks by d) and each candy costs $5 (let's represent the number of candies by c). Cai has a total of $85 to spend on these items.

The inequality representing this situation is:

4d + 5c ≤ 85

This inequality explains that the cost of d drinks plus the cost of c candies should not exceed $85.