document.write( "Question 1179283: A 100-point test contains a total of 30 questions. The multiple choice questions are worth 3 points each and the short response questions are worth 5 points each.
\n" ); document.write( "Write and solve a system of equations to find the number of MC questions (x) and the number of short response questions (y). \n" ); document.write( "

Algebra.Com's Answer #808792 by mananth(16946) $\"\"$ $\"About$

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1 x + 1 y = 30
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\n" ); document.write( "3 x + 5 y = 100 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by -5
\n" ); document.write( "Multiply (2) by 1
\n" ); document.write( "-5 x -5 y = -150
\n" ); document.write( "3 x 5 y = 100
\n" ); document.write( "Add the two equations
\n" ); document.write( "-2 x = -50
\n" ); document.write( "/ -2
\n" ); document.write( "x = 25
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "1 x + 1 y = 30
\n" ); document.write( "25 + 1 y = 30
\n" ); document.write( " 1 y = 5
\n" ); document.write( " y = 5
\n" ); document.write( "Ans x = 25
\n" ); document.write( " y = 5
\n" ); document.write( " 25 Number of multiple choice questions
\n" ); document.write( " 5 Number of short answer questions
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