document.write( "Question 1198564: I told a fruit seller to give me Rs. 1680 worth of passion fruits. After he gave me the passion fruits, I forced him to give me 4 extra passion fruits for free. He complained that because of giving me the extra passion fruits, he is getting Rs. 120 per dozen less on this transaction than the original price. How many passion fruits did get (including the 4 extra passion fruits)? \n" ); document.write( "

Algebra.Com's Answer #832204 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( "Let n be the original number of passion fruits.

\n" ); document.write( "Before the additional 4 passion fruits were given, the cost per fruit was Rs. 1680/n.

\n" ); document.write( "Afterwards, the cost per fruit was Rs. 1680/(n+4).

\n" ); document.write( "The decrease in cost was Rs. 120 per dozen, or Rs. 10 per fruit:

\n" ); document.write( " $\"1680%2Fn-1680%2F%28n%2B4%29=10\"$

\n" ); document.write( "Clear fractions by multiplying by the least common denominator, n(n+4):

\n" ); document.write( " $\"1680%28n%2B4%29-1680%28n%29=10%28n%29%28n%2B4%29\"$
\n" ); document.write( " $\"1680n%2B6720-1680n=10n%5E2%2B40n\"$
\n" ); document.write( " $\"10n%5E2%2B40n-6720=0\"$
\n" ); document.write( " $\"n%5E2%2B4n-672=0\"$
\n" ); document.write( " $\"%28n%2B28%29%28n-24%29=0\"$
\n" ); document.write( " $\"n=-28\"$ or $\"n=24\"$

\n" ); document.write( "The negative answer makes no sense, so the original number of passion fruits was n=24.

\n" ); document.write( "With the additional 4 passion fruits, the total he got was 24+4 = 28.

\n" ); document.write( "ANSWER: 28

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