document.write( "Question 1208202: Hi
\n" ); document.write( "There were 1081 visitors at a museum. 3/7 of the female visitors and 1/4 of the male visitors were children. If the number of female adults was 1/3 of the number of male adults, how many adult visitors were at the museum.
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Algebra.Com's Answer #846465 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "3/7 of the female visitors were children:
\n" ); document.write( "(Among female visitors, the ratio of children to adults was 3:4)
\n" ); document.write( "3x = # of female children
\n" ); document.write( "4x = # of female adults

\n" ); document.write( "1/4 of the male visitors were children:
\n" ); document.write( "(Among male visitors, the ratio of children to adults was 1:3)
\n" ); document.write( "y = # of male children
\n" ); document.write( "3y = # of male adults

\n" ); document.write( "The number of female adults was 1/3 of the number of male adults:
\n" ); document.write( "4x = (1/3)(3y) = y
\n" ); document.write( "y = 4x

\n" ); document.write( "The total number of visitors was 1081:
\n" ); document.write( "7x+4y = 1081
\n" ); document.write( "7x+4(4x) = 1081
\n" ); document.write( "23x = 1081
\n" ); document.write( "x = 1081/23 = 47

\n" ); document.write( "how many adult visitors were at the museum?
\n" ); document.write( "4x+3y = 4x+3(4x) = 16x = 16(47) = 752

\n" ); document.write( "ANSWER: 752

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