document.write( "Question 1130527: There are 270 men, women and children on a train.
\n" ); document.write( "The ratio of men to women is 4:5
\n" ); document.write( "The ratio of women to children is 10:9
\n" ); document.write( "How many men are on the train ? \n" ); document.write( "

Algebra.Com's Answer #747178 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = number of men
\n" ); document.write( "Let $\"+b+\"$ = number of women
\n" ); document.write( "Let $\"+c+\"$ = number of children
\n" ); document.write( "---------------------------------------
\n" ); document.write( "(1) $\"+a+%2B+b+%2B+c+=+270+\"$
\n" ); document.write( "(2) $\"+4%2F5+=+a%2Fb+\"$
\n" ); document.write( "(3) $\"+10%2F9+=+b%2Fc+\"$
\n" ); document.write( "--------------------------------
\n" ); document.write( "(2) $\"+a+=+%284%2F5%29%2Ab+\"$
\n" ); document.write( "(3) $\"+c+=+%289%2F10%29%2Ab+\"$
\n" ); document.write( "Substituting:
\n" ); document.write( "(1) $\"+%284%2F5%29%2Ab+%2B+b+%2B+%289%2F10%29%2Ab+=+270+\"$
\n" ); document.write( "Multiply both sides by $\"+10+\"$
\n" ); document.write( "(1) $\"+8b+%2B+10b+%2B+9b+=+2700+\"$
\n" ); document.write( "(1) $\"+27b+=+2700+\"$
\n" ); document.write( "(1) $\"+b+=+100+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+a+=+%284%2F5%29%2A100+\"$
\n" ); document.write( "(2) $\"+a+=+80+\"$
\n" ); document.write( "and
\n" ); document.write( "(3) $\"+c+=+%289%2F10%29%2A100+\"$
\n" ); document.write( "(3) $\"+c+=+90+\"$
\n" ); document.write( "----------------------------
\n" ); document.write( "80 men are on the train
\n" ); document.write( "----------------------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+80+%2B+100+%2B+90+=+270+\"$
\n" ); document.write( " $\"+270+=+270+\"$
\n" ); document.write( "OK \n" ); document.write( "

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