Question

Cashews and peanuts are combined to make a nut mixture. At least 1 of the mixture, by weight, is cashews, and the total weight of the mixture cannot exceed 48 ounces. Which system of inequalities models this situation, where c represents the number of ounces of cashews and p represents the number of ounces of peanuts?

A. c > 0

B. c + p ≤ 48

C. c ≥ 20

D. p ≥ 20

Answer 1

The system of inequalities that models this situation is c > 0 and c + p ≤ 48.

Step-by-step explanation:

The system of inequalities that models this situation is:

c > 0

c + p ≤ 48

• The inequality c > 0 ensures that there is at least 1 ounce of cashews in the nut mixture. The inequality c + p ≤ 48 ensures that the total weight of the mixture does not exceed 48 ounces. By using these inequalities, we can create a nut mixture with cashews and peanuts that meets the given conditions.