document.write( "Question 1160476: A test has 20 questions worth 100 points. The test consists of True/False questions worth 3 points each and multiple choice questions worth 11 points each. How many multiple choice questions are on the test? Write an augmented matrix to represent this situation. \n" ); document.write( "

Algebra.Com's Answer #783741 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "From the condition, you have these two equations\r\n" );
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document.write( "    T + M = 20       (1)    (T is the number of the T/F-questions);\r\n" );
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document.write( "   3T + 11M = 100    (2)    (M is the number of the multiple choice questions)\r\n" );
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document.write( "From equation (1), express T = 20-M and substitute it into equation (2)\r\n" );
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document.write( "    3*(20-M) + 11M = 100.\r\n" );
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document.write( "Simplify and solve for M\r\n" );
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document.write( "    60 - 3M + 11M = 100\r\n" );
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document.write( "    8M = 100 - 60 = 40\r\n" );
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document.write( "     M            = 40/8 = 5.\r\n" );
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document.write( "ANSWER.  5 multiple choice questions and  20-5 = 15  True/False questions.\r\n" );
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