SOLUTION: I know it says misc, but it's really Contexting Inequality Systems Graphically Samuel and his children went into a bakery and where they sell donuts for $1.50 each and brownies

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Question 1154184: I know it says misc, but it's really Contexting Inequality Systems Graphically
Samuel and his children went into a bakery and where they sell donuts for $1.50 each and brownies for $2.50 each. Samuel has $25 to spend and must buy at least 12 donuts and brownies altogether. If xx represents the number of donuts purchased and yy represents the number of brownies purchased, write and solve a system of inequalities graphically and determine one possible solution.
I need the graph and the two separate inequalities that make the graph
(need it before Sunday March 22, 11:59pm)

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Samuel and his children went into a bakery and where
let the number of donuts be x and the number of brownies y

they sell donuts for $1.50 each and brownies for $2.50 each.
if Samuel has $25 to spend and must buy at least 12 donuts and brownies altogether,
x%2By%3C=12........1)
1.50x%2B2.50y%3C=25........2)
----------------------------------------------
x%2By%3C=12........1)...solve for y
y%3C=12-x........substitute in 2)
1.50x%2B2.50%2812-x%29%3C=25........2)..solve for x
1.50x%2B30-2.50x%3C=25
30-x%3C=25
30-25%3C=x
x%3E=5
go to
y%3C=12-x........substitute in 2), substitute x
y%3C=12-5
y%3C=7


one possible solution:
point of intersection with coordinates x=5,y=7


View post on imgur.com


The solution to the system will be the area where the shadings from each inequality overlap one another.