document.write( "Question 1065304: Your teacher is giving a test that has 12 more three-point questions than five point questions. The test is worth 100 points. How many of each type of question is on the test? WITH WORK PLEASE \n" ); document.write( "

Algebra.Com's Answer #680461 by ikleyn(52787) $\"\"$ $\"About$

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\n" ); document.write( "Your teacher is giving a test that has 12 more three-point questions than five point questions. The test is worth 100 points.
\n" ); document.write( "How many of each type of question is on the test? WITH WORK PLEASE
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document.write( "Let F be the number of five-point questions.\r\n" );
document.write( "Then the number of three-point questions is (F + 12).\r\n" );
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document.write( "The \"total worth\" equation is\r\n" );
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document.write( "5F + 3*(F+12) = 100.\r\n" );
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document.write( "Simplify and solve for F:\r\n" );
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document.write( "5T + 3F + 36 = 100,\r\n" );
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document.write( "8F = 100 - 36  --->  8F = 64  --->  F =  = 8.\r\n" );
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document.write( "Answer. 8 five-point questions and (8+12) = 20 three-point questions.\r\n" );
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