SOLUTION: How many pounds of coffee worth 1.44 a pound should be mixed with 20 pounds worth 1.80 a pound a mixture worth 1.56 a pound?

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Question 75951: How many pounds of coffee worth 1.44 a pound should be mixed with 20 pounds worth 1.80 a pound a mixture worth 1.56 a pound?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
How many pounds of coffee worth 1.44 a pound should be mixed with 20 pounds worth 1.80 a pound a mixture worth 1.56 a pound?
:
Let x = amt of 1.44 a lb coffee. Given the 1.80 amt as 20 lb;
:
Therefore, the a resulting amt = (x+20) lb
:
1.44x + 1.80(20) = 1.56(x+20)
:
Get rid of these decimals; mult eq by 100
144x + 180(20) = 156(x+20)
144x + 3600 = 156x + 3120
144x - 156x = 3120 - 3600
-12x = -480
x = -480/-12
x = +40 lb of 1.44 coffee:
:
:
Check:
1.44(40) + 1.80(20) = 1.56(60)
57.6 + 36 = 93.6, confirms our solution.