Julia has started a small bakery that will make only these two recipes. She orders 2 pounds of flour. A pound of all-purpose flour contains approximately 18 cups of flour.

Julia is deciding how many batches of sugar cookies and how many loaves of banana bread to make. Construct a system of linear inequalities that shows how many batches of sugar cookies (x) and loaves of banana bread (y) she can make with the flour she has but also reflects the fact that she can’t produce negative goods.

Sugar Cookies
1½ cups sugar
2¾ cups flour

Banana Nut Bread

2½ cups sugar
5 cups of flour

Question

Julia has started a small bakery that will make only these two recipes. She orders 2 pounds of flour. A pound of all-purpose flour contains approximately 18 cups of flour.

Julia is deciding how many batches of sugar cookies and how many loaves of banana bread to make. Construct a system of linear inequalities that shows how many batches of sugar cookies (x) and loaves of banana bread (y) she can make with the flour she has but also reflects the fact that she can’t produce negative goods.

Sugar Cookies
1½ cups sugar
2¾ cups flour

Banana Nut Bread

2½ cups sugar
5 cups of flour