Question

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 loaves of nut bread Kona can bake. Which system of inequalities models the situation?

Answer 1

The system of inequalities that models the situation is

`x+y \leq 30`

`x(2.50) +y(2.75) \geq 44`

Explanation:

Given:

Total number of banana bread and nut bread must be atmost 30

Cost of one banana bread = $2.50

Cost of one nut bread = $2.75

Kona wants to make at least $44

To Find:

The system of inequalities models the situation

Solution:

Let the number of banana bread loaves be x

Let the number of nut bread loaves be y

Then kona wants to make at most 3 loaves of bread,

So

`x+y \leq 30` -----------------(1)

Then By selling one banana braed to $2.50, and each loaf of nut bread sells for $2.75,Kona wants to make at least $44.

`x(2.50) +y(2.75) \geq 44` ---------------------(2)