document.write( "Question 175779: Your math teacher tells you that next week's test is worth 100 points and contains 29 problems. Each problem is worth either 5 points or 2 points. How many of each type of problem are on the test? \n" ); document.write( "

Algebra.Com's Answer #130857 by Mathtut(3670) $\"\"$ $\"About$

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let the number of 5 point and 2 point problems be f and t respectively
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\n" ); document.write( "f+t=29.....eq 1
\n" ); document.write( "5f+2t=100..eq 2
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\n" ); document.write( "rewrite eq 1 to f=29-t and plug f's value into eq 2
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\n" ); document.write( "5(29-t)+2t=100
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\n" ); document.write( "145-5t+2t=100
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\n" ); document.write( "-3t=-45
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\n" ); document.write( " $\"highlight%28t=15%29\"$ number of two point problems
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\n" ); document.write( " $\"highlight%28f=29-15=14%29\"$ number of five point problems \n" ); document.write( "

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