document.write( "Question 178479This question is from textbook algebra
\n" ); document.write( ": A health food store mixes a breakfast cereal containing granola and dried bananas. Plain granola costs $6.00 per pound. Dried banana slices cost $4.00 per pound. The store makes up 40 pounds of the new cereal and sells it at $5.80 per pound. How much of each ingredient will go into the 40 pound mixture? \n" ); document.write( "

Algebra.Com's Answer #133446 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"g\"$ = the pounds of granola needed
\n" ); document.write( "Let $\"b\"$ = the pounds of dried bananas needed
\n" ); document.write( "In words:
\n" ); document.write( "(cost of granola used) + (cost of bananas used) = total cost
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"g+%2B+b+=+40\"$
\n" ); document.write( " $\"6g+%2B+4b+=+5.8%2A40\"$
\n" ); document.write( "(2) $\"6g+%2B+4b+=+232\"$
\n" ); document.write( "-----------------------
\n" ); document.write( "Multiply both sides of (1) by $\"4\"$ and
\n" ); document.write( "subtract from (2)
\n" ); document.write( "(2) $\"6g+%2B+4b+=+232\"$
\n" ); document.write( "(1) $\"-4g+-+4b+=+-160\"$
\n" ); document.write( " $\"2g+=+72\"$
\n" ); document.write( " $\"g+=+36\"$ lb
\n" ); document.write( "And, from (1)
\n" ); document.write( " $\"36+%2B+b+=+40\"$
\n" ); document.write( " $\"b+=+4\"$ lb
\n" ); document.write( "36 pounds of granola and 4 pounds of bananas are needed
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"6g+%2B+4b+=+232\"$
\n" ); document.write( " $\"6%2A36+%2B+4%2A4+=+232\"$
\n" ); document.write( " $\"216+%2B+16+=+232\"$
\n" ); document.write( " $\"232+=+232\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );