document.write( "Question 77432This question is from textbook beginning algebra
\n" ); document.write( ": The reciprocal of a number is added to three. the result is the quotient of 25 and the number. Find the number \n" ); document.write( "

Algebra.Com's Answer #55539 by ptaylor(2198) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let x=the number--------------then the reciprocal is 1/x\r
\n" ); document.write( "\n" ); document.write( "Now here's what we are told:\r
\n" ); document.write( "\n" ); document.write( "1/x+3=25/x multiply every term by x to get rid of the fractions\r
\n" ); document.write( "\n" ); document.write( "(1/x)(x)+3x=(25/x)(x) simplify\r
\n" ); document.write( "\n" ); document.write( "1+3x=25 subtract 1 from both sides\r
\n" ); document.write( "\n" ); document.write( "1-1+3x=25-1 collect like terms\r
\n" ); document.write( "\n" ); document.write( "3x=24 divide both sides by 3
\n" ); document.write( "x=8-------------------------------the number\r
\n" ); document.write( "\n" ); document.write( "CK\r
\n" ); document.write( "\n" ); document.write( "1/8+3=25/8 (note that 3 can be written as 24/8)\r
\n" ); document.write( "\n" ); document.write( "1/8+24/8=25/8
\n" ); document.write( "25/8=25/8\r
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\n" ); document.write( "\n" ); document.write( "Hope this helps------------ptaylor
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