document.write( "Question 977836: PurePets dog food is 35% vegetables 65% meat and grain. NewTone dog food is 42% vegetables and 58% meat and grain. How much of each would be needed to produce 25 pounds of dog food that was 50% vegetable and 50% meat and grain? \n" ); document.write( "
Algebra.Com's Answer #599381 by josgarithmetic(39617)\"\" \"About 
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p, how much of PurePets
\n" ); document.write( "n, how much of NewTone\r
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\n" ); document.write( "\n" ); document.write( "\"n%2Bp=25\" accounts for masses.\r
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\n" ); document.write( "\n" ); document.write( "Accounting for vegetable:
\n" ); document.write( "\"%280.35p%2B0.42n%29%2F25=0.5\"
\n" ); document.write( "or
\n" ); document.write( "\"%2835p%2B42n%29%2F25=50\"\r
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\n" ); document.write( "\n" ); document.write( "Accounting for meat:
\n" ); document.write( "\"%2865p%2B58n%29%2F25=50\"\r
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\n" ); document.write( "\n" ); document.write( "Only two equations are needed for the system because only two unknown variables need resolution. A full system is \r
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\n" ); document.write( "\n" ); document.write( "\"system%2835p%2B42n=25%2A50%2C65p%2B58n=25%2A50%2Cn%2Bp=25%29\"\r
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\n" ); document.write( "\n" ); document.write( "and then\r
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\n" ); document.write( "\n" ); document.write( "\"system%2835p%2B42n=1250%2C65p%2B58n=1250%2Cn%2Bp=25%29\"
\n" ); document.write( "-
\n" ); document.write( "Best would be to omit either of the percentage equations, and use the mass equation to substitute for either n or p.
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