document.write( "Question 1203641: Hi
\n" ); document.write( "In a fish tank there were 35 more guppies than goldfish. When more guppies and goldfish were added the number of guppies increased by 1/6 and the number of goldfish by 3/5 . Then the total number of fish in the tank was 193. How many guppies were there in the end.
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Algebra.Com's Answer #839371 by ikleyn(52914) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "It is quite obvious that two unknowns are enough to solve the problem.\r
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\n" ); document.write( "\n" ); document.write( "Two tutors, @ankor@dixie-net.com and @Theo proved it by providing complete solutions
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\n" ); document.write( "\n" ); document.write( "Then suddenly @josgarithmetic comes with his idea to use 4 unknowns,
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\n" ); document.write( "\n" ); document.write( "Obviously, this his idea is not very smart (if do not say more).\r
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\n" ); document.write( "\n" ); document.write( "Also, it is obvious that it is NOT POSSIBLE to find 4 unknowns from the system of three equations.\r
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\n" ); document.write( "\n" ); document.write( "Therefore, my advise to the reader is to ignore the post by @josgarithmetic,
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\n" ); document.write( "\n" ); document.write( "Below is my solution using only one unknown.\r
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document.write( "Let x be the number of goldfish, initially.\r\n" );
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document.write( "Then the number of guppies was (x+35), initially.\r\n" );
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document.write( "Adter adding, there are  of goldfish and  of guppies.\r\n" );
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document.write( "The total is 193 now\r\n" );
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document.write( "     +  = 193.\r\n" );
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document.write( "To solve this equation, multiply the terms by 30.  You will get\r\n" );
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document.write( "    48x + 35(x+35) = 30*193.\r\n" );
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document.write( "Simplify it further\r\n" );
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document.write( "    48x + 35x = 30*193 - 35*35\r\n" );
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document.write( "       83x    =     4565\r\n" );
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document.write( "         x    =     4565/83 = 55.\r\n" );
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document.write( "So, initially there were 55 goldfish in the tank and (55+35) = 90 guppies.\r\n" );
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document.write( "At the end, there is  = 105 guppies in the tank.\r\n" );
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document.write( "ANSWER.  There are 105 guppies in the tank at the end.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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