document.write( "Question 1117506: In the gift shop of the History of Flight museum, Elisa bought a kit to make a model of a jet plane. The actual plane is 21 feet long with a wingspan of 17.5 feet. If the finished model will be 12 inches long, what will the wingspan be?
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Algebra.Com's Answer #732608 by Theo(13342)![]() ![]() You can put this solution on YOUR website! the actual plane is 21 feet long with a wingspan of 17.5 feet.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the finished model is 12 inches long.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the ratio of the wingspan to the length is 17.5 / 21.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if the finished model is 12 inches long, then the wingspan of the model would need tobe 17.5 / 21 * 12 = 10 inches.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "now the ratio is preserved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "17.5 / 21 = 10 / 12.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "cross multiply to get 17.5 * 12 = 21 * 10 which results in 210 = 210.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this indicates that the ratios are equivalent to each other.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you can also see that they're equivalent to each other by finding the least common multiple of each fraction.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "17.5 / 21 = 10 / 12\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "multiply numerator and denominator of 10 / 12 by 1.75 / 1.75 and you get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "10 / 12 * 1.75 / 1.75 = 17.5 / 21.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this indicates the ratios of 17.5 / 21 and 10 / 12 are identical.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |