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 two inequalities can be used to represent the number of chocolate cakes (c) and the number of fruit cakes (f) Stella can make?

A. c + f > 8
5c + 3f < 120

B. c + f < 8
5c + 3f < 120

C. c + f < 8
3c + 5f < 120

D. c + f > 8
3c + 5f < 120

Answer 1

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➷ Since she needs to make at least 8 cakes, it can't be an equation with the less than symbol for the first inequality.

Also, 5 cups of flour are required for a chocolate cake (5c)

Fruit cakes require 3 cups (3f)

As per these criteria, A would be the correct option.

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Answer 2

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