Missing part of the question
Hayley bakes zucchini bread and banana bread. Some ingredients Hayley uses for each type of bread are shown in the tables
Zucchini Bread
2 eggs 2 cups of flour 1.5 cups of sugar 0.5 stick of butter
Banana Bread
1 egg 3 cups of flour 2 cups of sugar 0.25 stick of butter
Answer:
[tex]2z + b \le 9[/tex]
[tex]2z + 3b \le 15[/tex]
Step-by-step explanation:
Given
[tex]Flour = 15[/tex]
[tex]Egg =9[/tex]
Since there are enough of other ingredients, we will only consider the amount of eggs and cups of flour.
So, we have:
Zucchini Bread
[tex]Egg = 2[/tex]
[tex]Flour = 2[/tex]
Banana Bread
[tex]Egg = 1[/tex]
[tex]Flour = 3[/tex]
For the eggs
The ratio of eggs to use in the Zucchini bread to Banana bread is:
[tex]Egg = 2[/tex] (z) : [tex]Egg = 1[/tex] (b)
This gives:
[tex]2z + 1b[/tex]
The total number of eggs cannot exceed 9.
So, the inequality is:
[tex]2z + 1b \le 9[/tex]
[tex]2z + b \le 9[/tex]
For the flours
The ratio of flours to use in the Zucchini bread to Banana bread is:
[tex]Flour = 2[/tex] (z) : [tex]Flour = 3[/tex] (b)
This gives:
[tex]2z + 3b[/tex]
The total cups of flours cannot exceed 15.
So, the inequality is:
[tex]2z + 3b \le 15[/tex]
Hence:
The system of inequalities is:
[tex]2z + b \le 9[/tex]
[tex]2z + 3b \le 15[/tex]
