document.write( "Question 1031026: Hello,
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\n" ); document.write( "\n" ); document.write( "A landscaping company mixes its own proprietary blend of topsoil that costs $29.55 per ton to make. The blend contains soil that costs $25.05 per ton and organic compost that costs $36.30 per ton. If the company already has 3 tons of soil on hand, how many tons of compost do they need to mix in?\r
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\n" ); document.write( "\n" ); document.write( "It is a weighted average
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Algebra.Com's Answer #645754 by josgarithmetic(39625)\"\" \"About 
You can put this solution on YOUR website!
This should or can be split into two separate problems. \r
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\n" ); document.write( "\n" ); document.write( "Here is the first problem:
\n" ); document.write( "own proprietary blend of topsoil that costs $29.55 per ton to make. The blend contains soil that costs $25.05 per ton and organic compost that costs $36.30 per ton.
\n" ); document.write( "Solve for the proportions of the two materials making the topsoil.\r
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\n" ); document.write( "\n" ); document.write( "Then the second problem:
\n" ); document.write( "the company already has 3 tons of soil on hand, how many tons of compost do they need to mix in?
\n" ); document.write( "This is turned into simply a proportion problem, or the equality of two ratios.\r
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\n" ); document.write( "\n" ); document.write( "You might try handling the first problem using just a single variable, say x for the tons of the $25.05 soil; and 100-x for the tons of the $36.30 per ton organic compost; and this would be for 100 tons of the proprietary blend. The pricing is per TON. Look at COST per TON.
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\n" ); document.write( "\"25.05%2Ax%2B36.30%28100-x%29=100%2A29.55\", which accounts for cost, based on making 100 tons of proprietary blend.\r
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\n" ); document.write( "\n" ); document.write( "Solve for x and compute 100-x.
\n" ); document.write( "Then go to problems number 2.
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