document.write( "Question 1152850: 1.5 hours and the material costs
\n" ); document.write( "$8. Method II takes
\n" ); document.write( "2.0 hours, and the material costs
\n" ); document.write( "$5 Next week, they plan to spend
\n" ); document.write( "158 hours in labor and
\n" ); document.write( "$480
\n" ); document.write( " in material for refinishing tables. How many tables should they plan to refinish with each method? (Round to two decimal places if necessary.)
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Algebra.Com's Answer #774953 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "\"x\" tables with Method I.
\n" ); document.write( "\"y\" tables with Method II.\r
\n" ); document.write( "\n" ); document.write( "account for hours: \r
\n" ); document.write( "\n" ); document.write( "\"1.5x%2B2y=158\"\r
\n" ); document.write( "\n" ); document.write( "account for cost: \r
\n" ); document.write( "\n" ); document.write( "\"8x%2B5y=480\"\r
\n" ); document.write( "\n" ); document.write( "solve the system:
\n" ); document.write( "\"1.5x%2B2y=158\".......1
\n" ); document.write( "\"8x%2B5y=480\"..........2
\n" ); document.write( "--------------------------------------
\n" ); document.write( "\"1.5x%2B2y=158\".......1...solve for \"y\"\r
\n" ); document.write( "\n" ); document.write( "\"y=158%2F2-1.5x%2F2\"\r
\n" ); document.write( "\n" ); document.write( "\"y=79-0.75x\".....1a ..substitute in eq.2\r
\n" ); document.write( "\n" ); document.write( "\"8x%2B5%2879-0.75x%29=480\"..........2\r
\n" ); document.write( "\n" ); document.write( "\"8x%2B395-3.75x=480\"\r
\n" ); document.write( "\n" ); document.write( "\"4.25x=480-395\"\r
\n" ); document.write( "\n" ); document.write( "\"4.25x=85\"\r
\n" ); document.write( "\n" ); document.write( "\"x=85%2F4.25\"\r
\n" ); document.write( "\n" ); document.write( "\"x=20\"
\n" ); document.write( "\"y=79-0.75x\".....1a \r
\n" ); document.write( "\n" ); document.write( "\"y=79-0.75%2A20\"\r
\n" ); document.write( "\n" ); document.write( "\"y=79-15\"\r
\n" ); document.write( "\n" ); document.write( "\"y=64\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "so, they should plan
\n" ); document.write( "\"20\"tables with Method I.
\n" ); document.write( "\"64\" tables with Method II\r
\n" ); document.write( "\n" ); document.write( "check:\r
\n" ); document.write( "\n" ); document.write( "\"20\"tables with Method I.:\r
\n" ); document.write( "\n" ); document.write( "\"20%2A1.5=30\" hours and the material costs $\"20%2A8=160\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"64\" tables with Method II:
\n" ); document.write( "\"64%2A2.0=128\" hours, and the material costs $\"64%2A5+=320\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "=>\"30%2B128=158\" hours and $\"160%2B320=480\" cost\r
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