Kona wants to bake at most 30 loaves of banana bread and nut bread for a bake sale. Each loaf of banana bread sells for $2.50, and each loaf of nut bread sells for $2.75. Kona wants to make at least $44. Let x represent the number of loaves of banana bread and let y represent the number of nut bread Kona can bake. Write a system of inequalities to model the situation

Step-by-step explanation:

30 loaves of banana bread and nut bread at most

Banana bread is sold for $2.5

Nut bread is sold for $2.75

Total income she wants to make $44

Given that x represent loaves of bread

And y represent loaves of nut bread

First statement

She wants to make at most 30 of both loaves bread and nut, at most means the maximum she wanted to make is 30, so it is either 30 or less than 30.

Therefore the sum of the loaves bread and the nut bread is less or equal to 30.

Mathematically,

x+y≤30. Equation 1

Second statement

She wants to make at least a gain of $44, that is, the minimum money she wants to make is $44

Banana bread is sold for $2.5

Therefore she will make 2.5x by banking x nut bread

Nut bread is sold for $2.75

She will make 2.75y by baking y nut bread.

Therefore,

Since she wants to make at least $44,

The inequality is,

2.5x+2.75y≥ 44. equation 2

The inequalities model are

1. x+y≤30

2. 2.5x+2.75y≥ 44