document.write( "Question 979093: Shanice and Jaidee are selling flower bulbs for a school fundraiser. Customers can buy bags of windflower bulbs and bags of daffodil bulbs. Shanice sold 14 bags of windflower bulbs and 7 bags of daffodil bulbs for a total of $217. Jaidee sold 5 bags of windflower bulbs and 14 bags of daffodil bulbs for a total of $250. What is the cost each of one bag of windflower bulbs and one bag of daffodil bulbs? \n" ); document.write( "
Algebra.Com's Answer #600388 by josmiceli(19441)\"\" \"About 
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Let \"+a+\" = cost in dollars of 1 bag of wildflower bulbs
\n" ); document.write( "Let \"+b+\" = cost in dollars of 1 bag of daffodil bulbs
\n" ); document.write( "---------------------------------
\n" ); document.write( "(1) \"+14a+%2B+7b+=+217+\"
\n" ); document.write( "(2) \"+5a+%2B+14b+=+250+\"
\n" ); document.write( "-------------------------
\n" ); document.write( "Multiply both sides of (1) by \"+2+\"
\n" ); document.write( "and subtract (2) from (1)
\n" ); document.write( "(1) \"+28a+%2B+14b+=+434+\"
\n" ); document.write( "(2) \"+-5a+-+14b+=+-250+\"
\n" ); document.write( "------------------------
\n" ); document.write( "\"+23a+=+184+\"
\n" ); document.write( "\"+a+=+8+\"
\n" ); document.write( "and, from (1)
\n" ); document.write( "(1) \"+2a+%2B+b+=+31+\"
\n" ); document.write( "(1) \"+b+=+31+-+2%2A8+\"
\n" ); document.write( "(1) \"+b+=+31+-+16+\"
\n" ); document.write( "(1) \"+b+=+15+\"
\n" ); document.write( "-------------------
\n" ); document.write( "1 bag of wildflower bulbs costs $8
\n" ); document.write( "1 bag of daffodil bulbs costs $15
\n" ); document.write( "--------------------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+5a+%2B+14b+=+250+\"
\n" ); document.write( "(2) \"+5%2A8+%2B+14%2A15+=+250+\"
\n" ); document.write( "(2) \"+40+%2B+210+=+250+\"
\n" ); document.write( "(2) \"+250+=+250+\"
\n" ); document.write( "OK
\n" ); document.write( "You can check other equation\r
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