SOLUTION: donna's coffee shop makes a blend that is a mixture of two types of coffee. type A coffee costs donna $5.75 per pound, and type B coffee costs $4.50 per pound. this month she made

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Question 902404: donna's coffee shop makes a blend that is a mixture of two types of coffee. type A coffee costs donna $5.75 per pound, and type B coffee costs $4.50 per pound. this month she made 153 pounds of the blend for a total cost of $772.25. how many pounds of type A coffee did she use

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
m+p=153,
5.75*m+4.5*p=772.25
m=153-p
5.75*(153-p)+4.5*p=772.25
879.75-5.75p+4.5*p=772.25
-1.25*p=-107.5
p=86.0
m=153-p
m=67 lbs at $5.75 and p=86 lbs at $4.5
check
67+86=153
5.75*m+4.5*p=772.25
5.75*67+4.5*86=772.25
385.25+387.0=772.25
772.25=772.25
ok