Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

How do you find how many quarts of 4% butterfat milk and 1% butterfat milk should be mixed to yield 60 quarts of 2% butterfat milk?

1 Answer

Jun 18, 2018

$color(blue)20$ quarts of $4%$ and $color(blue)40$ quarts of $1%$ will give $60$ quarts of $2%$

Explanation:

Let $x$ be the number of quarts of $4%$ required.
This implies the number of quarts of $1%$ required will be $60-x$

The total butter fact will be
$color(white)("XXX")4/100 * x +1/100 * (60-x)=2/100 * 60$

$color(white)("XXX")rarr 4x+60-x= 2 *60$

$color(white)("XXX")rarr 3x+60=120$

$color(white)("XXX")3x=60$

$color(white)("XXX")x=20$

So $20$ quarts of $4%$ are needed plus $(60-20)=40$ quarts of $1%$

Related questions

See all questions in Mixture Problems

Impact of this question

11074 views around the world

You can reuse this answer
Creative Commons License