document.write( "Question 644533: At a health food store, dried apple slices $1.80/lb. are mixed with dried banana slices that cost $2.10/lb. If the mixture weighs 5 lb. and costs $1.92 lb., how many pounds of apple slices were used? \n" ); document.write( "

Algebra.Com's Answer #405145 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = pounds of apple slices used
\n" ); document.write( "Let $\"+b+\"$ = pounds of banana slices used
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+1.8a+%2B+2.1b+=+5%2A1.92+\"$
\n" ); document.write( "(2) $\"+a+%2B+b+=+5+\"$
\n" ); document.write( "---------------
\n" ); document.write( "(2) $\"+b+=+5+-+a+\"$
\n" ); document.write( "Substitute (2) into (1)
\n" ); document.write( "(1) $\"+1.8a+%2B+2.1%2A%28+5+-+a+%29+=+5%2A1.92+\"$
\n" ); document.write( "(1) $\"+1.8a+%2B+10.5+-+2.1a+=+9.6+\"$
\n" ); document.write( "(1) $\"+1.8a+-+2.1a+=+9.6+-+10.5+\"$
\n" ); document.write( "(1) $\"+-.3a+=+-.9+\"$
\n" ); document.write( "(1) $\"+a+=+3+\"$
\n" ); document.write( "3 pounds of apple slices were used
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+a+%2B+b+=+5+\"$
\n" ); document.write( "(2) $\"+b+=+2+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+1.8%2A3+%2B+2.1%2A2+=+5%2A1.92+\"$
\n" ); document.write( "(1) $\"+5.4+%2B+4.2+=+9.6+\"$
\n" ); document.write( "(1) $\"+9.6+=+9.6+\"$
\n" ); document.write( "OK \n" ); document.write( "

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