document.write( "Question 922769: In a basket containing 170 avocados and chicos, 5/8 of the number of avocados is equal to 5/9 of the number of chicos. How many of each kind are there? \n" ); document.write( "

Algebra.Com's Answer #559702 by josmiceli(19441) $\"\"$ $\"About$

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(1) $\"+%285%2F8%29%2Aa+=+%285%2F9%29%2Ac+\"$
\n" ); document.write( "(2) $\"+a+%2B+c+=+170+\"$
\n" ); document.write( "-------------------
\n" ); document.write( "Divide both sides of (1) by $\"5\"$
\n" ); document.write( "(1) $\"+%281%2F8%29%2Aa+=+%281%2F9%29%2Ac+\"$
\n" ); document.write( "(1) $\"+a+=+%288%2F9%29%2Ac+\"$
\n" ); document.write( "------------------
\n" ); document.write( "By substitution:
\n" ); document.write( "(2) $\"+%288%2F9%29%2Ac+%2B+c+=+170+\"$
\n" ); document.write( "(2) $\"+%2817%2F9%29%2Ac+=+170+\"$
\n" ); document.write( "(2) $\"+c+=+%289%2F17%29%2A170+\"$
\n" ); document.write( "(2) $\"+c+=+90+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+a+=+%288%2F9%29%2Ac+\"$
\n" ); document.write( "(1) $\"+a+=+%288%2F9%29%2A90+\"$
\n" ); document.write( "(1) $\"+a+=+80+\"$
\n" ); document.write( "There are 80 avocados and 90 chicos
\n" ); document.write( "------------
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+%285%2F8%29%2Aa+=+%285%2F9%29%2Ac+\"$
\n" ); document.write( "(1) $\"+%285%2F8%29%2A80+=+%285%2F9%29%2A90+\"$
\n" ); document.write( "(1) $\"+50+=+50+\"$
\n" ); document.write( "OK
\n" ); document.write( "
\n" ); document.write( " \n" ); document.write( "

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