document.write( "Question 1208202: Hi
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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. \n" );
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Algebra.Com's Answer #846465 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \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 \n" ); document.write( " \n" ); document.write( " |