Suppose that in a hospital ward, the patients can be grouped into two general categories depending on their condition and the amount of solid foods they require in their diet. A combination of two diets is used for solid foods because they supply essential nutrients for recovery. The table below summarizes the patient groups and their minimum daily requirements. Let x represent number of servings of Diet A and y represent number of servings of Diet B. Write the inequalities that describe how many servings of each diet are needed to provide the nutritional requirements.

Question

Quizplus · Accepted Answer

For Patient Group 1, the minimum requirements are: 
- 4 servings of Diet A 
- 2 servings of Diet B

Thus, the inequality for Patient Group 1 would be: 
4x + 2y ≥ 120

For Patient Group 2, the minimum requirements are: 
- 2 servings of Diet A 
- 3 servings of Diet B

Thus, the inequality for Patient Group 2 would be: 
2x + 3y ≥ 135

Together, the system of inequalities for the minimum daily requirements would be:
4x + 2y ≥ 120
2x + 3y ≥ 135

Therefore, choice C is the best answer.

Suppose That in a Hospital Ward, the Patients Can Be