document.write( "Question 314848: A bag contains some balls of which 1/4 are red. forty more balls of which 5 are red are added. if 1/5 of all the balls are red, how many balls were there originally? \n" ); document.write( "

Algebra.Com's Answer #225296 by Fombitz(32388) $\"\"$ $\"About$

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Originally you had $\"4N\"$ balls, $\"N\"$ of them were red.
\n" ); document.write( " $\"5\"$ red balls and $\"35\"$ non-red balls are now added.
\n" ); document.write( "The total number of red balls is now $\"N%2B5\"$
\n" ); document.write( "The total number of balls is $\"4N%2B40\"$ .
\n" ); document.write( "(1/5) of the new total are red.
\n" ); document.write( " $\"%281%2F5%29%284N%2B40%29=N%2B5\"$
\n" ); document.write( " $\"4N%2B40=5N%2B25\"$
\n" ); document.write( " $\"N=40-25\"$
\n" ); document.write( " $\"highlight%28N=15%29\"$
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\n" ); document.write( "Verify.
\n" ); document.write( "You originally had 15 red balls, and 60 total balls (15/60=1/4).
\n" ); document.write( "Then you added the additional balls.
\n" ); document.write( "You then had 20 red balls and 100 total balls (20/100=1/5). \n" ); document.write( "

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