document.write( "Question 82898This question is from textbook Algebra 1
\n" ); document.write( ": please help me with this problem its a story problem and I apoligize if its under the wrong heading:\r
\n" ); document.write( "\n" ); 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?
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Algebra.Com's Answer #59482 by checkley75(3666)\"\" \"About 
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
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