SOLUTION: Eric a health care enthusiast enjoys mixing his own beverages. His current favortie is a carrot drink that conatins 40% pure carrot juice. He has been to the store and has found so
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Question 136252This question is from textbook Crossing the River with Dogs
: Eric a health care enthusiast enjoys mixing his own beverages. His current favortie is a carrot drink that conatins 40% pure carrot juice. He has been to the store and has found some concentrated juice that is 60% pure carrot juice. His weife, Alcia found some carrot juice on sale and she brought home 80 quarts. It contains 12% pure carrot juice. How many quarts of the cocentrated 60% carrot juice does Eric need to add to the 80 quarts that Alicia brought home to produce his perfect drink containg 40% carrot juice? This question is from textbook Crossing the River with Dogs
You can put this solution on YOUR website! Let x=number of quarts of the 60% juice needed
Now we know that the pure carrot juice in the 60% juice (0.60x) plus the amount of pure carrot juice in the 12% juice (0.12*80) has to equal the amount of pure carrot juice in the final mixture (0.40(80+x)) so our equation to solve is:
0.60x+0.12*80=0.40(80+x) get rid of parens
0.60x+9.6=32+0.40x subtract 0.40x and also 9.6 from each side
0.60x-0.40x+9.6-9.6=0.40x-0.40x+32-9.6 collect like terms
0.20x=22.4 divide both sides by 0.20
x= 112 --------------------number of qts of 60% juice needed
CK
0.60*112+0.12*80=0.40*192
67.2+9.6=76.8
76.8=76.8
Hope this helps---ptaylor
