Question

The local florist never has more than a combined total of 40 daisy and carnation bouquets and never more than 12 carnation bouquets. Write a system of inequalities that represents this
situation.

Answer 1

The system of inequalities that represents this situation are

x + y ≤ 40 and x ≤ 12.

Here, x = Number of carnation bouquets

y = Number of daisy bouquets

From the system of inequalities,

In the first case.

The local florist has never more than a combined total of 40 daisy  bouquets, so according to this statement the following equation will be:

x + y ≤ 40.

Again in the second case.

The local florist has never more than a 12 carnation bouquets, so according to this statement the following equation will be:

x ≤ 12.

Therefore, the system of inequalities that represents this situation are

x + y ≤ 40 and x ≤ 12.

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