document.write( "Question 1178336: You mix 1/4 cup of red paint for every 1/2 cup of blue paint to make 3
\n" ); document.write( "Gallons of purple paint. A. How much red paint did you use? How much blue
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\n" ); document.write( "B. You decide that you want to make a lighter purple paint.
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Algebra.Com's Answer #807566 by AnlytcPhil(1806)\"\" \"About 
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B. You decide that you want to make a lighter purple paint.
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\n" ); document.write( "of red paint and 1/2 cup of blue paint. How much red paint, blue paint and
\n" ); document.write( "white paint do you use to make 1 1/2 gallons of the lighter purple color?\r
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document.write( "You mix 1/4 cup of white paint for every 1/4 cup of red paint and 1/2 cup of\r\n" );
document.write( "blue paint to make 1 1/2 Gallons of purple paint. the ratio of\r\n" );
document.write( "white:red:blue is (1/4):(1/4):(1/2).  Multiplying all 3 numbers by 4 gives\r\n" );
document.write( " [4x(1/4)]:[4x(1/4)]:[4x(1/2)] = 1:1:2.  That means that \r\n" );
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document.write( "1/(1+1+2) = 1/4 of the 1 1/2 gallon is white paint. \r\n" );
document.write( "That's (1/4)x(1 1/2) = (1/4)x(3/2) = 3/8 gallons of white paint.\r\n" );
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document.write( "Since there was the same amount of red as white, there was also 3/8 gallons\r\n" );
document.write( "of red paint.\r\n" );
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document.write( "There is twice as much blue paint as either of the other colors, so there\r\n" );
document.write( "was 2x(3/8) = 6/8 = 3/4 gallons of blue paint.\r\n" );
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document.write( "To change gallons to cups multiply everything by 16 cups per gallon:\r\n" );
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document.write( "(3/8)x16 = 6 cups of white.\r\n" );
document.write( "6 cups of red\r\n" );
document.write( "12 cups of blue.\r\n" );
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document.write( "That gives 6+6+12 = 24 cups of light purple paint and 24รท16 = 24/16 = 3/2 = \r\n" );
document.write( "1 1/2 gallons.\r\n" );
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document.write( "Edwin
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