document.write( "Question 717257: i need help solving system of linear equations and inequalities the word problems. Here is the problem..... The manager of a gourmet coffee and tea store is mixing two green teas, one worth $7 per pound and the other worth $9 per pound. He wants to obtain 32 pounds of tea worth 8.50 per pound. How much of each tea should he use? \n" ); document.write( "

Algebra.Com's Answer #440192 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+a+\"$ = pounds of $7/lb tea needed
\n" ); document.write( "Let $\"+b+\"$ = pounds of $9/lb tea needed
\n" ); document.write( " $\"+7a+\"$ = cost of $7/lb tea used
\n" ); document.write( " $\"+9b+\"$ = cost of $9/lb tea used
\n" ); document.write( "--------------
\n" ); document.write( "(1) $\"+a+%2B+b+=+32+\"$
\n" ); document.write( "(2) $\"+%28+7a+%2B+9b+%29+%2F+32+=+8.5+\"$
\n" ); document.write( "--------------------------
\n" ); document.write( "(2) $\"+7a+%2B+9b+=+8.5%2A32+\"$
\n" ); document.write( "(2) $\"+7a+%2B+9b+=+272+\"$
\n" ); document.write( "Multiply both sides of (1) by $\"+7+\"$
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) $\"+7a+%2B+9b+=+272+\"$
\n" ); document.write( "(1) $\"+-7a+-+7b+=+-224+\"$
\n" ); document.write( " $\"+2b+=+48+\"$
\n" ); document.write( " $\"+b+=+24+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+a+%2B+24+=+32+\"$
\n" ); document.write( "(1) $\"+a+=+8+\"$
\n" ); document.write( "8 pounds of $7/lb tea are needed
\n" ); document.write( "24 pounds of $9/lb tea are needed
\n" ); document.write( "check answer:
\n" ); document.write( "(2) $\"+%28+7%2A8+%2B+9%2A24+%29+%2F+32+=+8.5+\"$
\n" ); document.write( "(2) $\"+%28+56+%2B+216+%29+%2F+32+=+8.5+\"$
\n" ); document.write( "(2) $\"+272+%2F+32+=+8.5+\"$
\n" ); document.write( "(2) $\"+272+=+272+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "
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