Question

Gary is baking pretzels for his sister’s party. Some pretzels will be regular and some pretzels will be whole grain.

Let x represent the number of dozens of regular pretzels.

Let y represent the number of dozens of whole-grain pretzels.

Gary needs to bake at least 14 dozen pretzels in all.

Gary has 20 cups of flour. He needs 2 cups of flour for each batch of 12 whole-grain pretzels and 1 cup of flour for each batch of 12 regular pretzels.

Select the constraints that correctly model the inequality

Answer 1

The constraints are

`x+y\geq 14`

`2y+x\leq 20`

`x\geq 0`

`y\geq 0`

Explanation:

Let

x-------> the number of dozens of regular pretzels.

y-------> the number of dozens of whole-grain pretzels.

we know that

`x+y\geq 14` --------> inequality A

`2y+x\leq 20` -------> inequality B

`x\geq 0` -------> inequality C (cannot be a negative number)

`y\geq 0` ------> inequality D (cannot be a negative number)

The solution is the triangular shaded area

see the attached figure