$\"\"$

Let $\"\"$ be the number of cookies and $\"\"$ be the number of cupcakes.

Rebecca can bake $\"\"$ cookies at a time and $\"\"$ cupcakes at a time.

She needs to make at least $\"\"$ baked goods, but no more than $\"\"$ . \ \

Hence the inequality is $\"\"$ .

She wants to have at least three times as many cookies as cupcakes. \ \

Hence the inequality is $\"\"$ .

The inequalities are $\"\"$ and $\"\"$ , $\"\"$ and $\"\"$ .

Graph:

Graph the system of inequalities are $\"\"$ , $\"\"$ and $\"\"$ :

$\"\"$

Observe the graph:

The dark shaded region is the region where all the inequalities are true.

Pick a point in this region.

Since they have whole numbers of batches.

The $\"\"$ -coordinate which is a multiple of $\"\"$ and a $\"\"$ -coordinate which is a multiple of $\"\"$ .

Rebecca can make $\"\"$ cookies and $\"\"$ cupcakes.

$\"\"$

Graph of the inequalities are $\"\"$ , $\"\"$ and $\"\"$ is \ \

$\"\"$ .