SOLUTION: SOLVE AND SHOW THE EQUATIONS USED FOR THE SOLUTION A COFFEE MERCHANT HAS COFFEE BEANS THAT SELL FOR $9 PER POUNDS AND $12 PER POUNDS. THE TWO TYPES ARE TO BE MIXED TO CREAT 100

Algebra ->  Graphs -> SOLUTION: SOLVE AND SHOW THE EQUATIONS USED FOR THE SOLUTION A COFFEE MERCHANT HAS COFFEE BEANS THAT SELL FOR $9 PER POUNDS AND $12 PER POUNDS. THE TWO TYPES ARE TO BE MIXED TO CREAT 100      Log On


   

Question 121935: SOLVE AND SHOW THE EQUATIONS USED FOR THE SOLUTION
A COFFEE MERCHANT HAS COFFEE BEANS THAT SELL FOR $9 PER POUNDS AND $12 PER POUNDS. THE TWO TYPES ARE TO BE MIXED TO CREAT 100 LB OF A MIXTURE THAT WILL SELL FOR $11.25 PER POUND. HOW MUCH OF EACH TYPE OF BEAN SHOULD BE USED IN THE MIXTURE?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
COFFEE MERCHANT HAS COFFEE BEANS THAT SELL FOR $9 PER POUNDS AND $12 PER POUNDS. THE TWO TYPES ARE TO BE MIXED TO CREATE 100 LB OF A MIXTURE THAT WILL SELL FOR $11.25 PER POUND. HOW MUCH OF EACH TYPE OF BEAN SHOULD BE USED IN THE MIXTURE?
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$9 coffee DATA:
Amt = x lbs ; value = 9x dollars
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$12 coffee DATA:
Amt = 100-x lbs ; value = 12(100-x)=1200-12x dollars
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Mixture DATA:
Amt = 100 lbs ; value = 11.25*100 = $1125 dollars
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EQUATION:
value + value = 1125
9x + 1200-12x = 1125
-3x = -75
x = 25 lbs. (Amt. of $9 coffee iin the mixture.)
100-x = 75 lbs. (Amt of $12 coffee in the mixture)
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Cheers,
Stan H.