document.write( "Question 165086: 78. Low-fat yogurt. Ziggy’s Famous Yogurt blends regular yogurt that is 3% fat with its no-fat yogurt to obtain low-fat yogurt that is 1% fat. How many pounds of regular yogurt and how many pounds of no-fat yogurt should be mixed to obtain 60 pounds of low-fat yogurt? \n" ); document.write( "

Algebra.Com's Answer #121677 by josmiceli(19441) $\"\"$ $\"About$

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(pounds of fat in mixture)/(total pound of mixture) = per cent fat
\n" ); document.write( "Let $\"n\"$ = pounds of no-fat yogurt to be used
\n" ); document.write( " $\"60+-+n\"$ = pound of 3% yogurt used
\n" ); document.write( "The only fat is in the 3% yogurt
\n" ); document.write( " $\".03%2A%2860+-+n%29+%2F+60+=+.01\"$
\n" ); document.write( " $\"%281.8+-+.03n%29+%2F+60+=+.01\"$
\n" ); document.write( " $\"1.8+-+.03n+=+.6\"$
\n" ); document.write( " $\".03n+=+1.2\"$
\n" ); document.write( " $\"n+=+40\"$
\n" ); document.write( " $\"60+-+40+=+20\"$
\n" ); document.write( "40 pounds of no-fat yogurt and 20 pounds of 3% fat yogurt are needed
\n" ); document.write( "check:
\n" ); document.write( " $\".03%2A%2860+-+n%29+%2F+60+=+.01\"$
\n" ); document.write( " $\".03%2A%2860+-+40%29+%2F+60+=+.01\"$
\n" ); document.write( " $\".6%2F60+=+.01\"$
\n" ); document.write( " $\".01+=+.01\"$ \n" ); document.write( "

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