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?
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\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 #578572 by MathTherapy(10552)\"\" \"About 
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\n" ); document.write( "
\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( "
Ratio of 9:4 means that there are 13 (9 + 4) parts
\n" ); document.write( "Since there are a total of 91 instruments, then number of strings = \"%289%2F13%29+%2A+91\"
\n" ); document.write( "Number of winds: \"%284%2F13%29+%2A+91\", or 91 - \"%289%2F13%29+%2A+91\"\r
\n" ); document.write( "\n" ); document.write( "OR\r
\n" ); document.write( "\n" ); document.write( "Let the multiplicative factor be x
\n" ); document.write( "Then we can say that: 9x + 4x = 91
\n" ); document.write( "Solve for x
\n" ); document.write( "Multiply x by 9 to get number of strings
\n" ); document.write( "Multiply x by 4, or subtract number of strings from 91 to get number of winds. \n" ); document.write( "
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