SOLUTION: One thousand quarts of milk testing 4% butterfat are to be reduced to 3%. How many quarts of cream testing 23% butterfat must be separated from the milk to produce the required r

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: One thousand quarts of milk testing 4% butterfat are to be reduced to 3%. How many quarts of cream testing 23% butterfat must be separated from the milk to produce the required r      Log On


   



Question 667056: One thousand quarts of milk testing 4% butterfat are to be reduced to 3%.
How many quarts of cream testing 23% butterfat must be separated from the milk to produce the required result?
All percentage are by volume.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The butterfat in +1000+ quarts is
+.04%2A1000+=+40+ quarts
Let +x+ = quarts of 23% butterfat to be removed
+.23x+ = quarts of butterfat removed
----------------
+%28+40+-+.23x+%29+%2F+%28+1000+-+x+%29+=+.03+
+40+-+.23x+=+.03%2A%28+1000+-+x+%29+
+40+-+.23x+=+30+-+.03x+
+.23x+-+.03x+=+40+-+30+
+.2x+=+10+
+x+=+50+
50 quarts of 23% butterfat cream must be removed
check:
+%28+40+-+.23x+%29+%2F+%28+1000+-+x+%29+=+.03+
+%28+40+-+.23%2A50+%29+%2F+%28+1000+-+50+%29+=+.03+
+%28+40+-+11.5+%29+%2F+950+=+.03+
+28.5+=+.03%2A950+
+28.5+=+28.5+
OK