document.write( "Question 1008252:  The heights of a maple tree and a cherry tree have a ratio of 5:2. If the maple tree grew 20cm and 20cm was cut off the top of the cherry tree the ratio of their heights would be 3:1. How much taller is the maple tree than the cherry tree?\r
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document.write( "** I would really appreciate it if you could write it algebraiclly, so i UNDERSTAND. THANKS! \n" );
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| Algebra.Com's Answer #623999 by ankor@dixie-net.com(22740)     You can put this solution on YOUR website! The heights of a maple tree and a cherry tree have a ratio of 5:2. \n" ); document.write( " If the maple tree grew 20cm and 20cm was cut off the top of the cherry tree the ratio of their heights would be 3:1. \n" ); document.write( " How much taller is the maple tree than the cherry tree? \n" ); document.write( ": \n" ); document.write( "let x = the multiplier \n" ); document.write( "then \n" ); document.write( " 5x = the height of the Maple tree in cm \n" ); document.write( "and \n" ); document.write( " 2x = the height of the Cherry tree \n" ); document.write( ": \n" ); document.write( "\"If the maple tree grew 20cm and 20cm was cut off the top of the cherry tree the ratio of their heights would be 3:1.\" \n" ); document.write( " \n" ); document.write( "Cross multiply \n" ); document.write( "1(5m+20) = 3(2x-20 \n" ); document.write( "distribute \n" ); document.write( "5x + 20 = 6x - 60 \n" ); document.write( "basic algebra \n" ); document.write( "20 + 60 = 6x - 5x \n" ); document.write( "80 = x \n" ); document.write( "the multiplier is is 80, therefore \n" ); document.write( "5*80 = 400 cm is the height of Maple \n" ); document.write( "and \n" ); document.write( "2*80 = 160 cm is the height of the Cherry \n" ); document.write( ": \n" ); document.write( "\"How much taller is the maple tree than the cherry tree?\" \n" ); document.write( "400 - 160 = 240 cm taller \n" ); document.write( "; \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check this in the equation: \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |