SOLUTION: dear algebra tutors, this baby has stumped me - the 23% confuses me. one thousand quarts of milk testing 4% butterfat are to be reduced to 3%. how many quarts of cream testing 2

Question 95688: dear algebra tutors, this baby has stumped me - the 23% confuses me.
one thousand quarts of milk testing 4% butterfat are to be reduced to 3%. how many quarts of cream testing 23% must be separated from the milk to produce the required? all percents are by volume.
thank you!
Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
1000*.04-.23x=.03(1000-x)
40-.23x=30-.03x
40-30=.23x-.03x
10=.2x
x=10/.2
x=50 quarts of 23% must be removed.
proof
1000*.04-.23*50=.03(1000-50)
40-11.5=30-1.5
28.5=28.5
RELATED QUESTIONS
One thousand quarts of milk testing 4% butterfat are to be reduced to 3%. How many... (answered by josmiceli)

Hi, I have tried this problem 2 different ways and I am still not getting correct... (answered by josmiceli)

Find how many quarts of 5% butterfat milk and 1% butterfat milk should be... (answered by josgarithmetic)

Dearest tutors, can you help me regarding my problem? thank you for that.. 1. A... (answered by ptaylor)

could you please help me with this problem? i tried it and got 60 pounds but it was... (answered by ankor@dixie-net.com)

How many kilograms of milk testing 5% butterfat and how many kilograms of cream testing... (answered by guapa)

Find how many quarts of 4% butterfat milk and 1% butterfat milk should be mixed to yield... (answered by Theo)

Two gallons of milk contain 2% butterfat. How many quarts of milk should be drained and... (answered by josmiceli)

Two gallons of milk contain 2% butterfat. How many quarts of milk should be drained and... (answered by josgarithmetic)