document.write( "Question 1156880: Birdseed costs ​$0.62 a pound and sunflower seeds cost ​$0.92 a pound. Angela​ Leinenbachs' pet store wishes to make a 50​-pound mixture of birdseed and sunflower seeds that sells for ​$0.85 per a pound. How many pounds of each type of seed should she​ use? \n" ); document.write( "
Algebra.Com's Answer #779670 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+a+\" = pounds of $0.62/lb seed needed
\n" ); document.write( "Let \"+b+\" = pounds of $0.92/lb seed needed
\n" ); document.write( "---------------------------------------------------
\n" ); document.write( "(1) \"+a+%2B+b+=+50+\"
\n" ); document.write( "(2) \"+%28+.62a+%2B+.92b+%29+%2F+50+=+.85+\"
\n" ); document.write( "-------------------------------------------
\n" ); document.write( "(2) \"+.62a+%2B+.92b+=+.85%2A50+\"
\n" ); document.write( "(2) \"+.62a+%2B+.92b+=+42.5+\"
\n" ); document.write( "(2) \"+62a+%2B+92b+=+4250+\"
\n" ); document.write( "(2) \"+31a+%2B+46b+=+2125+\"
\n" ); document.write( "Multiply both sides of (1) by \"+31+\"
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) \"+31a+%2B+46b+=+2125+\"
\n" ); document.write( "(1) \"+-31a+-+31b+=+-1550+\"
\n" ); document.write( "-------------------------------
\n" ); document.write( "\"+15b+=+575+\"
\n" ); document.write( "\"+b+=+38.333+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+a+%2B+b+=+50+\"
\n" ); document.write( "(1) \"+a+%2B+38.333+=+50+\"
\n" ); document.write( "(1) \"+a+=+11.667+\"
\n" ); document.write( "--------------------------------
\n" ); document.write( "11.667 pounds of $0.62/lb seed are needed
\n" ); document.write( "38.333 pounds of $0.92/lb seed are needed
\n" ); document.write( "---------------------------------------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+%28+.62a+%2B+.92b+%29+%2F+50+=+.85+\"
\n" ); document.write( "(2) \"+%28+.62%2A11.667+%2B+.92%2A38.333+%29+%2F+50+=+.85+\"
\n" ); document.write( "(2) \"+%28+7.2333+%2B+35.2667+%29+%2F+50+=+.85+\"
\n" ); document.write( "(2) \"+42.5+%2F+50+=+.85+\"
\n" ); document.write( "(2) \"+42.5+=+42.5+\"
\n" ); document.write( "OK
\n" ); document.write( "check the math & get a 2nd opinion if needed
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