document.write( "Question 731619: Thirty pound of dried fruit mix contained apples worth #3.15 a pound and pears worth $4.25 a pound. How many pounds of each did the mix contain if the value of the mix was $107.70? \n" ); document.write( "

Algebra.Com's Answer #447198 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = pounds of apples needed
\n" ); document.write( "Let $\"+b+\"$ = pounds of pears needed
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+a+%2B+b+=+30+\"$
\n" ); document.write( "(2) $\"++3.15a+%2B+4.25b+=+107.7+\"$
\n" ); document.write( "----------------------------
\n" ); document.write( "(2) $\"+315a+%2B+425b+=+10770+\"$
\n" ); document.write( "Multiply both sides of (1) by $\"+315+\"$
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) $\"+315a+%2B+425b+=+10770+\"$
\n" ); document.write( "(1) $\"+-315a+-+315b+=+-9450+\"$
\n" ); document.write( " $\"+110b+=+1320+\"$
\n" ); document.write( " $\"+b+=+12+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+a+%2B+b+=+30+\"$
\n" ); document.write( "(1) $\"+a+=+18+\"$
\n" ); document.write( "18 pounds of apples and 12 pounds of pears are needed
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+3.15a+%2B+4.25b+=+107.7+\"$
\n" ); document.write( "(2) $\"+3.15%2A18+%2B+4.25%2A12+=+107.7+\"$
\n" ); document.write( "(2) $\"+56.7+%2B+51+=+107.7+\"$
\n" ); document.write( "(2) $\"+107.7+=+107.7+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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