document.write( "Question 1142300: Birdseed costs $0.66 a pound and sunflower seeds cost $0.96 a pound. Angela Leinenbachs' pet store wishes to make a 50-pound mixture of birdseed and sunflower seeds that sells for $0.86 per a pound. How many pounds of each type of seed should she use? \n" ); document.write( "

Algebra.Com's Answer #763020 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( "(1) By the standard algebraic solution method....

\n" ); document.write( "Use x pounds of the sunflower seeds at 0.96 per pound and (50-x) pounds of the birdseed at 0.66 per pound to make 50 pounds of the mixture at 0.86 per pound:

\n" ); document.write( " $\"0.96%28x%29%2B0.66%2850-x%29+=+0.86%2850%29\"$

\n" ); document.write( "Solve using basic algebra; I leave that to you.

\n" ); document.write( "(2) By a much easier method using logical reasoning....

\n" ); document.write( "The target price of 0.86 per pound is 2/3 of the way from 0.66 per pound to 0.96 per pound. (0.96-0.66 = 0.30; 0.86-0.66 = 0.20; 0.20/0.30 = 2/3).

\n" ); document.write( "That means 2/3 of the mixture needs to be the more expensive sunflower seed.

\n" ); document.write( "ANSWER: 2/3 of 50 pounds, or 33 1/3 pounds, of sunflower seeds and 16 2/3 pounds of birdseed. \n" ); document.write( "

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