document.write( "Question 980241: The ratio of the males to females was 4 to 7. The ratio of the young to old was 5 to 9. If the number in the group was less than 200, how many people were in the group? \n" ); document.write( "

Algebra.Com's Answer #601443 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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The ratio of the males to females was 4 to 7.
\n" ); document.write( "let x = the multiplier
\n" ); document.write( "then
\n" ); document.write( "4x = no. of boys
\n" ); document.write( "7x = no. of girls
\n" ); document.write( "and
\n" ); document.write( "11x = total in the group
\n" ); document.write( ":
\n" ); document.write( " The ratio of the young to old was 5 to 9.
\n" ); document.write( "let y = the multiplier
\n" ); document.write( "then
\n" ); document.write( "5y = no. of youngsters
\n" ); document.write( "9y = no. of oldsters
\n" ); document.write( "and
\n" ); document.write( "14y = total in the group
\n" ); document.write( ":
\n" ); document.write( "we know that two groups are the same number, therefore
\n" ); document.write( "14y = 11x
\n" ); document.write( "y = $\"%2811x%29%2F14\"$
\n" ); document.write( "has to be an integer
\n" ); document.write( "x = 14, then y = 11
\n" ); document.write( ":
\n" ); document.write( " If the number in the group was less than 200, how many people were in the group?
\n" ); document.write( "14*11 = 154
\n" ); document.write( "or
\n" ); document.write( "11*14 = 154 in the the group
\n" ); document.write( ":
\n" ); document.write( " \n" ); document.write( "

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