document.write( "Question 181804: Stella’s Catering is planning a wedding
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\n" ); document.write( "How much of each type should be mixed to get a 10-lb
\n" ); document.write( "mixture that is 25% peanuts?
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Algebra.Com's Answer #136401 by Mathtut(3670)\"\" \"About 
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Stella’s Catering is planning a wedding
\n" ); document.write( "reception. The bride and groom would like to serve
\n" ); document.write( "a nut mixture containing 25% peanuts. Stella has
\n" ); document.write( "available mixtures that are either 40% or 10% peanuts.
\n" ); document.write( "How much of each type should be mixed to get a 10-lb
\n" ); document.write( "mixture that is 25% peanuts?
\n" ); document.write( ":
\n" ); document.write( "let x and y be the amount of mixtures of 10% and 40% peanuts respectively
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\n" ); document.write( "x+y=10..............eq 1
\n" ); document.write( ".10x+.4y=.25(10)....eq 2
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\n" ); document.write( "rewrite eq 1 to \"highlight%28x%29=blue%2810-y%29\" and plug that value into eq 2
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\n" ); document.write( ".10(10-y)+.4y=2.5
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\n" ); document.write( "1-.1y+.4y=2.5
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\n" ); document.write( ".3y=1.5
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\n" ); document.write( "\"highlight%28y=5%29\"pounds of 40% peanut mixture
\n" ); document.write( ":
\n" ); document.write( "\"highlight%28x%29=blue%2810-y=10-5%29=highlight%285%29\"pounds of 10% peanut mixture
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\n" ); document.write( " we would expect an equal split since 25% is right in between 10% and 40%
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