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?

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nandhini123 nandhini123 · Answer 1 · 2020-01-26T13:02:37+01:00

Answer:

The system of inequalities that models the situation is

[tex]x+y \leq 30[/tex]

[tex]x(2.50) +y(2.75) \geq 44[/tex]

Step-by-step 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

[tex]x+y \leq 30[/tex] -----------------(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.

[tex]x(2.50) +y(2.75) \geq 44[/tex] ---------------------(2)