SOLUTION: The kayla's and cody's ice cream store sells ice cream shakes made of ice cream and milk. The milk used has 2% fat and the ice cream had 30% fat. Anna is in charge of making shakes

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Question 766652: The kayla's and cody's ice cream store sells ice cream shakes made of ice cream and milk. The milk used has 2% fat and the ice cream had 30% fat. Anna is in charge of making shakes. Today's mix had a total of 23% fat. If Anna used three quarts of milk, how many quarts does the entire mixture contain?

Found 2 solutions by josmiceli, lwsshak3:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
You need to find out how many
quarts of ice cream are used
------------------------
Anna used three quarts of milk
+.02%2A3+=+.06+ quarts of fat in the milk
Let +x+ = quarts of ice cream needed
+.3x+ = quarts of fat in ice cream
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+%28+.06+%2B+.3x+%29+%2F+%28+3+%2B+x+%29+=+.23+
+.06+%2B+.3x+=+.23%2A%28+3+%2B+x+%29+
+.06+%2B+.3x+=+.69+%2B+.23x+
+.07x+=+.63+
+x+=+9+
9 quarts of ice cream are needed
There are +3+%2B+9+=+12+ quarts in the entire mixture

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
The kayla's and cody's ice cream store sells ice cream shakes made of ice cream and milk. The milk used has 2% fat and the ice cream had 30% fat. Anna is in charge of making shakes. Today's mix had a total of 23% fat. If Anna used three quarts of milk, how many quarts does the entire mixture contain?
***
let x=number of quarts of 23% fat mixture
x-3=quarts of 30% fat ice cream used
2%*3+30%(x-3)=23%x
.06+.30x-.90=.23x
.07x=.84
x=12
how many quarts does the entire 23% fat mixture contain? 12