document.write( "Question 704816: Please help me!!!! \r
\n" ); document.write( "\n" ); document.write( "A store is selling two different types of cheese. One type sells for $3.75 a pound and a second type sells for $4.55 a pound. How many pounds of the $3.75 cheese would the store need to mix together with the $4.55 cheese to get a 45-pound block mixture that sells for $4.05 a pound?
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\n" ); document.write( "Thank you so much! :D
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Algebra.Com's Answer #434283 by Stitch(470)\"\" \"About 
You can put this solution on YOUR website!
Let A = pounds of cheese that costs $3.75/pound
\n" ); document.write( "Let B = pounds of cheese that costs $4.55/pound
\n" ); document.write( "Equation 1:\"A+%2B+B+=+45\" (A 45 pound block of mixed cheese)
\n" ); document.write( "Equation 2:\"%283.75%2AA+%2B+4.55%2AB%29%2F%28A%2BB%29+=+4.05\" (The cost per pound of the mixed cheese block)
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\n" ); document.write( "Solve Equation 1 for one of the variables.
\n" ); document.write( "Equation 1:\"A+%2B+B+=+45\"
\n" ); document.write( "\"A+=+45+-+B\"
\n" ); document.write( "Now plug (45 - B) into Equation 2 for A
\n" ); document.write( "Equation 2:\"%283.75%2AA+%2B+4.55%2AB%29%2F%28A%2BB%29+=+4.05\"
\n" ); document.write( "\"%283.75%2A%2845+-+B%29+%2B+4.55%2AB%29%2F%28%2845+-+B%29%2B+B%29+=+4.05\"
\n" ); document.write( "Multiply the 3.75 trough and simplify the equation
\n" ); document.write( "\"%28168.75+-+3.75B+%2B+4.55B%29%2F%2845%29+=+4.05\"
\n" ); document.write( "Multiply both sides by 45
\n" ); document.write( "\"168.75+-+3.75B+%2B+4.55B+=+182.25\"
\n" ); document.write( "Combine like terms
\n" ); document.write( "\"168.75+%2B+0.8B+=+182.25\"
\n" ); document.write( "Subtract 168.75 from both sides
\n" ); document.write( "\"0.8B+=+13.5\"
\n" ); document.write( "Divide both sides by 0.8
\n" ); document.write( "\"highlight%28B+=+16.875%29\"
\n" ); document.write( "Now plug 16.875 into equation 1 for B
\n" ); document.write( "Equation 1:\"A+%2B+B+=+45\"
\n" ); document.write( "\"A+%2B+%2816.875%29+=+45\"
\n" ); document.write( "\"highlight_green%28A+=+28.125%29\"\r
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