document.write( "Question 277133: Using the 5-sep method, how do I solve this:
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document.write( "One-half of a number is 25 more than one-third of the same number. What is the number?\r
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document.write( "Ahhhh, so confusing. \n" );
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Algebra.Com's Answer #201822 by CharlesG2(834)![]() ![]() ![]() You can put this solution on YOUR website! Using the 5-sep method, how do I solve this: \n" ); document.write( "One-half of a number is 25 more than one-third of the same number. What is the number?\r \n" ); document.write( "\n" ); document.write( "I am not sure what a 5-sep or 5-step method, whatever you mean, is, but I can show you how to find the number.\r \n" ); document.write( "\n" ); document.write( "x = a number \n" ); document.write( "1/2 of a number = 1/2 * x \n" ); document.write( "1/3 of the same number = 1/3 * x \n" ); document.write( "25 more than 1/3 of the same number = 1/3 * x + 25 \n" ); document.write( "1/2 * x = 1/3 * x + 25 (replaced \"is\" with an equal sign) \n" ); document.write( "3/6 * x = 2/6 * x + 25 (converted fractions to 6ths) \n" ); document.write( "1/6 * x = 25 \n" ); document.write( "x = 150 (multiplied both sides by 6)\r \n" ); document.write( "\n" ); document.write( "check: \n" ); document.write( "1/2 of a number = 1/3 of the same number + 25 \n" ); document.write( "1/2 * 150 = 1/3 * 150 + 25 \n" ); document.write( "75 = 50 + 25 \n" ); document.write( "75 = 75\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |