document.write( "Question 407620: A math test has 25 problems.Some problems are worth 2 points and some are worth 3 points and the total points for the test is 66. how many 2 point and three point problems are there? \n" ); document.write( "
Algebra.Com's Answer #287317 by stanbon(75887)\"\" \"About 
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A math test has 25 problems.Some problems are worth 2 points and some are worth 3 points and the total points for the test is 66. how many 2 point and three point problems are there?
\n" ); document.write( "A math test has 25 problems.Some problems are worth 2 points and some are worth 3 points and the total points for the test is 66. how many 2 point and three point problems are there?
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\n" ); document.write( "Equations:
\n" ); document.write( "t + r = 25
\n" ); document.write( "2t+3r = 66
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\n" ); document.write( "Multiply thru 1st by 2 to get:
\n" ); document.write( "2t + 2r = 2*25
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\n" ); document.write( "Subtract that equation from the one above and
\n" ); document.write( "solve for \"r\":
\n" ); document.write( "r = 66-2*25 = 10 (# of three point problems)
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\n" ); document.write( "Solve for \"t\":
\n" ); document.write( "t + r = 25
\n" ); document.write( "t + 10 = 25
\n" ); document.write( "t = 15 (# of 2 point problems)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
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