document.write( "Question 1072588: A candy maker mixed marshmallows worth $1.80 a pound with rice crisipes worth $3.20 a pound to make 50 pounds of a rice crispie treats worth $2.92 a pound. Find the number of pounds of each item used.\r
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Algebra.Com's Answer #687447 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+a+\" = pounds of MM used
\n" ); document.write( "Let \"+b+\" = pounds of RC used
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\n" ); document.write( "(1) \"+a+%2B+b+=+50+\"
\n" ); document.write( "(2) \"+%28+1.8a+%2B+3.2b+%29+%2F+50+=+2.92+\"
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\n" ); document.write( "(2) \"+1.8a+%2B+3.2b+=+2.92%2A50+\"
\n" ); document.write( "(2) \"+1.8a+%2B+3.2b+=+146+\"
\n" ); document.write( "(2) \"+18a+%2B+32b+=+1460+\"
\n" ); document.write( "(2) \"+9a+%2B+16b+=+730+\"
\n" ); document.write( "Multiply both sides of (1) by \"+9+\" and
\n" ); document.write( "subtract (1) from (2)
\n" ); document.write( "(2) \"+9a+%2B+16b+=+730+\"
\n" ); document.write( "(1) \"+-9a+-+9b+=+-450+\"
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\n" ); document.write( "\"+7b+=+280+\"
\n" ); document.write( "\"+b+=+40+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+a+%2B+b+=+50+\"
\n" ); document.write( "(1) \"+a+%2B+40+=+50+\"
\n" ); document.write( "(1) \"+a+=+10+\"
\n" ); document.write( "-------------------------
\n" ); document.write( "10 pounds of MM are needed
\n" ); document.write( "40 pounds of RC are needed
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\n" ); document.write( "check:
\n" ); document.write( "(2) \"+%28+1.8a+%2B+3.2b+%29+%2F+50+=+2.92+\"
\n" ); document.write( "(2) \"+%28+1.8%2A10+%2B+3.2%2A40+%29+%2F+50+=+2.92+\"
\n" ); document.write( "(2) \"+%28+18+%2B+128+%29+%2F+50+=+2.92+\"
\n" ); document.write( "(2) \"+146+=+2.92%2A50+\"
\n" ); document.write( "(2) \"+146+=+146+\"
\n" ); document.write( "OK
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