document.write( "Question 1116889: A yogurt company blends regular yogurt that is 4% fat with its no-fat yogurt to obtain low-fat yogurt that is 1% fat. How many pounds of non-fat yogurt must be mixed to obtain 50 pounds of low-fat yogurt? \n" ); document.write( "

Algebra.Com's Answer #731797 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+x+\"$ = pounds of non-fat yogurt needed
\n" ); document.write( " $\"+50+-+x+\"$ = pounds of regular 4% yogurt needed
\n" ); document.write( " $\"+.04%2A%28+50+-+x+%29+\"$ = pounds of fat in the 4% yogurt
\n" ); document.write( "-----------------------------------------------
\n" ); document.write( " $\"+%28+.04%2A%28+50+-+x+%29+%29+%2F+50+=+.01+\"$
\n" ); document.write( " $\"+.04%2A%28+50+-+x+%29+=+.5+\"$
\n" ); document.write( " $\"+2+-+.04x+=+.5+\"$
\n" ); document.write( " $\"+.04x+=+1.5+\"$
\n" ); document.write( " $\"+x+=+37.5+\"$
\n" ); document.write( "----------------------------------------
\n" ); document.write( "37.5 pounds of non-fat yogurt are needed
\n" ); document.write( "----------------------------------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+50+-+x+=+50+-+37.5+\"$
\n" ); document.write( " $\"+50+-+x+=+12.5+\"$ pounds of 4% yogurt needed
\n" ); document.write( " $\"+.04%2A12.5+=+.5+\"$ pounds of fat in 4% yogurt
\n" ); document.write( " $\"+.5+%2F+50+=+.01+\"$
\n" ); document.write( " $\"+1+%2F+100+=+.01+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

\n" );