document.write( "Question 309711: Deep thought granola is 25% nuts and dries fruit. Oat Dream Granola is 10% nuts and dried fruit. How much of deep thought and how uch of oat dream should be mixed to form a 20-lb batch of granola that is 19%nuts and dried fruit? Please show work.Thanks \n" ); document.write( "
Algebra.Com's Answer #221515 by alicealc(293)\"\" \"About 
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Deep thought Granola = x lb
\n" ); document.write( "-> nuts = 25/100 * x = 0.25x
\n" ); document.write( "Oat Dream Granola = y lb
\n" ); document.write( "-> nuts = 10/100 * y = 0.1y\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "(1) x + y = 20
\n" ); document.write( "(2) 0.25x + 0.1y = 0.19 * 20
\n" ); document.write( "-> 0.25x + 0.1y = 3.8
\n" ); document.write( "multiply equation (1) by 0.25:
\n" ); document.write( "(1) 0.25x + 0.25y = 5
\n" ); document.write( "(2) 0.25x + 0.1 y = 3.8
\n" ); document.write( "------------------------ (-)
\n" ); document.write( "0.15y = 1.2
\n" ); document.write( "y = 1.2/0.15 = 120/15 = 8
\n" ); document.write( "x + y = 20
\n" ); document.write( "x + 8 = 20
\n" ); document.write( "x = 20 - 8
\n" ); document.write( "x = 12\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "so, deep thought granola needed = 12 lb
\n" ); document.write( "oat dream granola needed = 8 lb \n" ); document.write( "
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