Question

Stella needs to make at least 8 cakes for a bake sale. A chocolate cake requires 5 cups of flour, and a fruit cake requires 3 cups of flour. She has at most 120 cups of flour.

Which system of inequalities represent the number of chocolate cakes (c) and the number of fruit cakes (f) Stella can make?
A.


B.


C.


D.

Answer 1

A. c + f > 8

5c + 3f < 120

Explanation:

Let c = chocolate cakes

Let f = fruit cakes

She must make at least 8 cakes

c+f ≥8

A chocolate cake requires 5 cups of flour, and a fruit cake requires 3 cups of flour and she has only 120 cups of flour

5c+3f ≤120

The two equations are

c+f ≥8

5c+3f ≤120