document.write( "Question 82898This question is from textbook Algebra 1
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document.write( ": please help me with this problem its a story problem and I apoligize if its under the wrong heading:\r
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document.write( "If a certain number, two thirds of it, half of it, and a seventh of it are added together, the result is 97. What is the number? \n" );
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Algebra.Com's Answer #59482 by checkley75(3666)![]() ![]() ![]() You can put this solution on YOUR website! x+2/3x+1/2x+1/7x=97 find a common denominator so we can add the fractions: \n" ); document.write( "7*2*3=42 so we change every fraction to have a denominator of 42 & add the numerators thus: \n" ); document.write( "2/3=2*14/42=28/42 \n" ); document.write( "1/2=1*21/42=21/42 \n" ); document.write( "1/7=1*6/42=6/42 \n" ); document.write( "(42+28+21+6)x/42=97 \n" ); document.write( "97x/42=97 now we cross multiply: \n" ); document.write( "97x=42*97 \n" ); document.write( "x=42*97/97 \n" ); document.write( "x=42 answer for the original number. \n" ); document.write( "proof \n" ); document.write( "42+42/2+42/3+42/7=97 \n" ); document.write( "42+28+21+6=97 \n" ); document.write( "97=97 \n" ); document.write( " \n" ); document.write( " |