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
\n" ); document.write( "\n" ); document.write( "** I would really appreciate it if you could write it algebraiclly, so i UNDERSTAND. THANKS!
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Algebra.Com's Answer #623999 by ankor@dixie-net.com(22740)\"\" \"About 
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?
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\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( "\"%28%285m%2B20%29%29%2F%28%282x-20%29%29\" = \"3%2F1\"
\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
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\n" ); document.write( "\"How much taller is the maple tree than the cherry tree?\"
\n" ); document.write( "400 - 160 = 240 cm taller
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\n" ); document.write( ":
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\n" ); document.write( "Check this in the equation: \"%28%285m%2B20%29%29%2F%28%282x-20%29%29\" = \"3%2F1\"
\n" ); document.write( "\"%28%28400%2B20%29%29%2F%28%28160-20%29%29\" = \"3%2F1\"
\n" ); document.write( "\"420%2F140\" = \"3%2F1\"
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