document.write( "Question 281170: Please help me solve this word problem:\r
\n" ); document.write( "\n" ); document.write( "The Future Teachers of America Club at Paint Branch High School is makin a healthy trail mix to sell to students during lunch. the mix will have three times the number of pounds of raisins as sunflower seeds. Sunflower seeds cost $4.00 per pound, and raisins cost $1.50 per pound. If the group has $34.00 to spend on the raisins and sunflower seeds, how many pounds of each should they buy?
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Algebra.Com's Answer #204265 by josmiceli(19441)\"\" \"About 
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Let \"r\" = pounds of raisins they should buy
\n" ); document.write( "Let \"s\" = pounds of sunflower seeds they should buy
\n" ); document.write( "given:
\n" ); document.write( "Cost of sunflower seeds = \"400s\" (in cents)
\n" ); document.write( "Cost of raisins = \"150r\" (in cents)
\n" ); document.write( "(1) \"150r+%2B+400s+=+3400\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"r+=+3s\"
\n" ); document.write( "------------
\n" ); document.write( "By substitution:
\n" ); document.write( "(1) \"150%2A3s+%2B+400s+=+3400\"
\n" ); document.write( "\"450s+%2B+400s+=+3400\"
\n" ); document.write( "\"850s+=+3400\"
\n" ); document.write( "\"s+=+4\"
\n" ); document.write( "and, since
\n" ); document.write( "\"r+=+3s\"
\n" ); document.write( "\"r+=+12\"
\n" ); document.write( "They should buy 12 pounds of raisins and 4 pounds of sunflower seeds
\n" ); document.write( "check:
\n" ); document.write( "(1) \"150r+%2B+400s+=+3400\"
\n" ); document.write( "(1) \"150%2A12+%2B+400%2A4+=+3400\"
\n" ); document.write( "\"1800+%2B+1600+=+3400\"
\n" ); document.write( "\"3400+=+3400\"
\n" ); document.write( "OK
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