document.write( "Question 581161: a store mixes Kentucky bluegrass worth $11 per pound and ryegrass worth $14 per pound. the mixture is to sell for $12 per pound. Find how much of each should be used to make a 204-pound mixture. \n" ); document.write( "

Algebra.Com's Answer #371477 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = pounds of bluegrass needed
\n" ); document.write( "Let $\"+b+\"$ = pounds of ryegrass needed
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+a+%2B+b+=+204+\"$
\n" ); document.write( "(2) $\"+%28+11a+%2B+14b+%29+%2F+204+=+12+\"$
\n" ); document.write( "--------------------------------
\n" ); document.write( "(2) $\"+11a+%2B+14b+=+2448+\"$
\n" ); document.write( "Multiply both sides of (1) by $\"+11+\"$
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) $\"+11a+%2B+14b+=+2448+\"$
\n" ); document.write( "(1) $\"+-11a+-+11b+=+-2244+\"$
\n" ); document.write( " $\"+3b+=+204+\"$
\n" ); document.write( " $\"+b+=+68+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+a+%2B+b+=+204+\"$
\n" ); document.write( "(1) $\"+a+%2B+68+=+204+\"$
\n" ); document.write( "(1) $\"+a+=+204+-+68+\"$
\n" ); document.write( "(1) $\"+a+=+136+\"$
\n" ); document.write( "136 pounds of bluegrass is needed
\n" ); document.write( "68 pounds of ryegrass is needed
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+%28+11a+%2B+14b+%29+%2F+204+=+12+\"$
\n" ); document.write( "(2) $\"+%28+11%2A136+%2B+14%2A68+%29+%2F+204+=+12+\"$
\n" ); document.write( "(2) $\"+%28+1496+%2B+952+%29+%2F+204+=+12+\"$
\n" ); document.write( "(2) $\"+2448+%2F+204+=+12+\"$
\n" ); document.write( "(2) $\"+2448+=+12%2A204+\"$
\n" ); document.write( "(2) $\"+2448+=+2448+\"$
\n" ); document.write( "OK \n" ); document.write( "

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