SOLUTION: Britney wants to bake at most 10 loaves of bread for a bake sale. She wants to make banana bread that sells fr $1.25 each and nut bread that sells for $1.50 each and make at least

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Britney wants to bake at most 10 loaves of bread for a bake sale. She wants to make banana bread that sells fr $1.25 each and nut bread that sells for $1.50 each and make at least       Log On


   

Question 908909: Britney wants to bake at most 10 loaves of bread for a bake sale. She wants to make banana bread that sells fr $1.25 each and nut bread that sells for $1.50 each and make at least $24 in sales. Write a system of inequalities for the given situation and graph the inequalities
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
b, how many banana bread loaves
n, how many nut bread loaves

Choice will be made to use b for the horizontal axis and n for the vertical axis.

At most 10 loaves:
b%2Bn%3C=10
n%3C=-b%2B10

At least $24 in sales:
%281.25%29b%2B%281.5%29n%3E=24
1.5n%3E=-1.25b%2B24
n%3E=-%285%2F6%29b%2B16

graph%28300%2C300%2C-2%2C10%2C-2%2C10%2Cx%2By%3C=10%2C1.25x%2B1.5y%3E=24%29

Any overlap of the two inequalities?

Take a look at each LINE represented:
graph%28300%2C300%2C-2%2C16%2C-2%2C16%2Cy=-x%2B10%2Cy=-%285%2F6%29x%2B16%29

This problem has NO practical solution.