document.write( "Question 375856: A seed company mixes two types of seed for bird feeding. One costs $1.100 per kg and the other costs $2.25 per kg. How much of each seed is needed to produce 6 kg at a cost of $8.90? \n" ); document.write( "

Algebra.Com's Answer #267295 by jessica43(140) $\"\"$ $\"About$

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To solve this problem you need to write two separate equations using what you are given.
\n" ); document.write( "First, you know that there are two types of seed each priced per kg and together they must total 6 kg:
\n" ); document.write( "A + B = 6 (where A = is the cheaper seed, B = the more expensive seed)
\n" ); document.write( "This can be rewritten as A = 6 - B
\n" ); document.write( "Second, you know that seed A costs $1.1 per kg and seed B costs $2.25 per kg and together they equal $8.90:
\n" ); document.write( "1.1A + 2.25B = 8.9
\n" ); document.write( "Now, plug in the rewritten first equation into the second equation and solve for B:
\n" ); document.write( "1.1A + 2.25B = 8.9
\n" ); document.write( "1.1(6 - B) + 2.25B = 8.9
\n" ); document.write( "6.6 - 1.1B + 2.25B = 8.9
\n" ); document.write( "6.6 + 1.15B = 8.9
\n" ); document.write( "1.15B = 2.3
\n" ); document.write( "B = 2
\n" ); document.write( "So you need 2 kg of the more expensive seed (B).
\n" ); document.write( "Since you need 6 kg total seed, this means that you need 4 kg of the cheaper seed (A). \n" ); document.write( "

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