document.write( "Question 947942:
\n" ); document.write( "Use a system of equations to model the situation and then solve by any method.
\n" ); document.write( "
\n" ); document.write( "An orchestra consists of string instruments and wind instruments in a ratio of 9 to 4. There are 91 string and wind instruments in the orchestra. How many string instruments are there? How many wind instruments?
\n" ); document.write( "
\n" ); document.write( " 63 string instruments 28 wind instruments
\n" ); document.write( " 65 string instruments 26 wind instruments
\n" ); document.write( " 60 string instruments 31 wind instruments
\n" ); document.write( " 72 string instruments 19 wind instruments
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #578555 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "a ratio of 9 to 4. There are 91 string and wind instruments in the orchestra.\r
\n" ); document.write( "\n" ); document.write( "let \"string_instruments=x\" and \"wind_instruments=y\"\r
\n" ); document.write( "\n" ); document.write( "\"x%2Fy=9%2F4\"\r
\n" ); document.write( "\n" ); document.write( "\"4x=9y\"\r
\n" ); document.write( "\n" ); document.write( "\"x+=%289%2F4%29y\"...eq.1\r
\n" ); document.write( "\n" ); document.write( "if there are \"91\" string and wind instruments in the orchestra, we have\r
\n" ); document.write( "\n" ); document.write( "\"x%2By=91\".......eq.2\r
\n" ); document.write( "\n" ); document.write( "solve the system\r
\n" ); document.write( "\n" ); document.write( "\"x+=+%289%2F4%29y\"...eq.1........substitute in eq.2
\n" ); document.write( "\"x%2By=91\".......eq.2
\n" ); document.write( "---------------------------------------\r
\n" ); document.write( "\n" ); document.write( "\"%289%2F4%29y%2By=91\".......eq.2.................solve for \"y\"\r
\n" ); document.write( "\n" ); document.write( "\"9y%2F4%2B4y%2F4=91\"\r
\n" ); document.write( "\n" ); document.write( "\"13y%2F4=91\"\r
\n" ); document.write( "\n" ); document.write( "\"13y=91%2A4\"\r
\n" ); document.write( "\n" ); document.write( "\"13y=364\"\r
\n" ); document.write( "\n" ); document.write( "\"y=364%2F13\"\r
\n" ); document.write( "\n" ); document.write( "\"y=28\"\r
\n" ); document.write( "\n" ); document.write( "now go to \"x+=+%289%2F4%29y\"...eq.1........substitute \"28\" for \"y\" and solve for \"x\"\r
\n" ); document.write( "\n" ); document.write( "\"x+=+%289%2Fcross%284%29%29cross%2828%297\"\r
\n" ); document.write( "\n" ); document.write( "\"x+=+9%2A7\"\r
\n" ); document.write( "\n" ); document.write( "\"x+=+63\"\r
\n" ); document.write( "\n" ); document.write( "so, there is:\r
\n" ); document.write( "\n" ); document.write( " \"highlight%28+63%29\" string and \"highlight%28+28%29\" wind instruments \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );