Question

The local florist never has more than a combined total of 40 daisy bouquets and carnation bouquets, and she never has more than 12 carnation bouquets. Write a system of inequalities that represents this situation. Be sure to include all constraints.

Answer 1

The system of inequalities representing the given situation is D + C <= 40 and C <= 12.

Step-by-step explanation:

To represent the given situation, we can use two inequalities:

The first inequality represents that the combined total of daisy bouquets and carnation bouquets is at most 40:

D + C <= 40

The second inequality represents that the number of carnation bouquets is at most 12:

C <= 12

So the system of inequalities that represents this situation is:

D + C <= 40

C <= 12