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

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) (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?
------------------------------
$9 coffee DATA:
Amt = x lbs ; value = 9x dollars
--------------------
$12 coffee DATA:
Amt = 100-x lbs ; value = 12(100-x)=1200-12x dollars
----------------------
Mixture DATA:
Amt = 100 lbs ; value = 11.25*100 = $1125 dollars
------------------------
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)
-----------------
Cheers,
Stan H.
RELATED QUESTIONS
Need help solving these four questions: 1. How many pounds of coffee beans selling... (answered by funmath)

well i have more than one question so i'm goign to posted them all #4.Find three... (answered by solver91311)

I need help. Thank 1.Translate the problem into a pair of linear equations in two... (answered by oberobic)

1. 3. 5. 7. 9. 45 mi/hr = ______ ft/sec 26 cm/sec = _________ m/min 2.5 qt/min =... (answered by macston)

1. Many people know that the weight of an object varies on different planets, but did you (answered by solver91311)

I need help making a table and putting the right numbers in the right spots. I also have (answered by scott8148)

can someone please solve this problem step by step? show work how it was answered! a... (answered by rothauserc)

1. Which of the following values is NOT equal to 34(58+9)? A. 34 x 67 B. 58(34+9) C.... (answered by Fombitz)

hello, can anyone help me solve these linear problems ? I really need help & im... (answered by umnikmo)