document.write( "Question 221223: how many tons of hay at $125 per ton and $75 per ton must be purchased to have 100 tons of hay worth $9000? \n" ); document.write( "

Algebra.Com's Answer #165990 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"a\"$ = tons of $125/ton hay used
\n" ); document.write( "Let $\"b\"$ = tons of $75/ton hay used
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"a+%2B+b+=+100\"$
\n" ); document.write( "(2) $\"125a+%2B+75b+=+9000\"$
\n" ); document.write( "---------------------------
\n" ); document.write( "Multiply both sides of (1) by $\"75\"$ and
\n" ); document.write( "subtract from (2)
\n" ); document.write( "(2) $\"125a+%2B+75b+=+9000\"$
\n" ); document.write( "(1) $\"-75a+%2B+-75b+=+-7500\"$
\n" ); document.write( " $\"50a+=+1500\"$
\n" ); document.write( " $\"a+=+30\"$
\n" ); document.write( "and, since
\n" ); document.write( " $\"a+%2B+b+=+100\"$
\n" ); document.write( " $\"30+%2B+b+=+100\"$
\n" ); document.write( " $\"b+=+70\"$
\n" ); document.write( "30 tons of $125/ton hay and 70 tons of $75/ton hay
\n" ); document.write( "must be purchased
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"125a+%2B+75b+=+9000\"$
\n" ); document.write( " $\"125%2A30+%2B+75%2A70+=+9000\"$
\n" ); document.write( " $\"3750+%2B+5250+=+9000\"$
\n" ); document.write( " $\"9000+=+9000\"$
\n" ); document.write( "OK\r
\n" ); document.write( "
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