document.write( "Question 583042: A total of $55 is divided among Ben, John, and Mary. John got 1/3 of what Ben got, while Mary got 1/2 of what Ben got. How much did each recieve?\r
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\n" ); document.write( "\n" ); document.write( "I am not sure how to convert this to algebra form. I should be able to solve once I get the correct form, but I would appreciate the help to be sure I am getting the correct steps.
\n" ); document.write( "Thank you
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Algebra.Com's Answer #372303 by JBarnum(2146)\"\" \"About 
You can put this solution on YOUR website!
j=john b=ben m=mary
\n" ); document.write( "\"j=%281%2F3%29b\"
\n" ); document.write( "\"m=%281%2F2%29b\"
\n" ); document.write( "\"j%2Bm%2Bb=55\"
\n" ); document.write( "substitute the j and m and solve for ben
\n" ); document.write( "\"%281%2F3%29b%2B%281%2F2%29b%2Bb=55\" find a common denom number to knock out the fractions (6) is divisable by 3, 2, and 1 so cross canceling will eliminate the fractions
\n" ); document.write( "\"b%2F3%2Bb%2F2%2Bb=55\" multiply everything by 6
\n" ); document.write( "\"2b%2B3b%2B6b=330\"
\n" ); document.write( "\"11b=330\"
\n" ); document.write( "\"b=30\"
\n" ); document.write( "substitute in b for the other two equations
\n" ); document.write( "\"j=10\"
\n" ); document.write( "\"m=15\"
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\n" ); document.write( "check
\n" ); document.write( "j+m+b=55
\n" ); document.write( "10+15+30=55
\n" ); document.write( "55=55
\n" ); document.write( "correct
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