document.write( "Question 163832: Systems of Inequalities
\n" ); document.write( "Tara’s website, Garden Edibles, specializes in the sale of herbs and flowers for colorful meals and garnishes. Tara sells packets of nasturtium seeds for $0.95 each and packets of Johnny-jumpup seeds for $1.43 each. She decides to offer a 16-packet spring-garden combination,combining packets of both types of seeds at $1.10 per packet. How many packets of each type of seed should be put in her garden mix?
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Algebra.Com's Answer #120693 by Fombitz(32388)\"\" \"About 
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Let's call the number of nasturtium seed packets, N, and the number of Johnny-jumpup seed packets, J.
\n" ); document.write( "The total number of packets is 16.
\n" ); document.write( "1.\"N%2BJ=16\"
\n" ); document.write( "The total cost equation is
\n" ); document.write( "\"0.95%2AN%2B1.43%2AJ=1.10%28N%2BJ%29\"
\n" ); document.write( "\"0.95%2AN%2B1.43%2AJ=1.10%2816%29\"
\n" ); document.write( "2.\"0.95%2AN%2B1.43%2AJ=17.60\"
\n" ); document.write( "Use eq. 1 to get an expression for N in terms of J.
\n" ); document.write( "1.\"N%2BJ=16\"
\n" ); document.write( "\"N=16-J\"
\n" ); document.write( "Now substitute that expression into eq. 2 and solve for J,
\n" ); document.write( "2.\"0.95%2AN%2B1.43%2AJ=17.60\"
\n" ); document.write( "\"0.95%2A%2816-J%29%2B1.43%2AJ=17.60\"
\n" ); document.write( "\"15.20-0.95J%2B1.43%2AJ=17.60\"
\n" ); document.write( "\"15.20%2B0.48%2AJ=17.60\"
\n" ); document.write( "\"0.48%2AJ=2.40\"
\n" ); document.write( "\"J=5\"
\n" ); document.write( "Then from eq. 1,
\n" ); document.write( "\"N=16-J\"
\n" ); document.write( "\"N=16-5\"
\n" ); document.write( "\"N=11\"
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\n" ); document.write( "11 nasturtium seed packets and 5 Johnny-jumpup seed packets make up the 16 packet set.
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