document.write( "Question 162607: Your teacher is giving you a test worth 100 points containing 40 questions on the test. There are 2point and 4 point questions. How many of each are there? \n" ); document.write( "

Algebra.Com's Answer #119837 by jojo14344(1513) $\"\"$ $\"About$

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\n" ); document.write( " $\"x=number+of+2pts\"$
\n" ); document.write( " $\"y=number+of+4pts\"$
\n" ); document.write( "Then, $\"2x%2B4y=100pts\"$ ---------------------------------------> EQN 1
\n" ); document.write( "Also, $\"x%2By=40qts\"$ -----------------------------------------> EQN 2
\n" ); document.write( "In EQn 2, we get $\"x=40-y\"$ ----------------------------------> EQN 3
\n" ); document.write( "Subst. EQN 3 in EQN 1:
\n" ); document.write( " $\"2%2840-y%29%2B4y=100\"$
\n" ); document.write( " $\"80-2y%2B4y=100\"$
\n" ); document.write( " $\"2y=100-80=20\"$
\n" ); document.write( " $\"cross%282%29y%2Fcross%282%29=cross%2820%2910%2Fcross%282%29\"$
\n" ); document.write( " $\"y=10qts\"$ for 4pts
\n" ); document.write( "In EQN 3,
\n" ); document.write( " $\"x=40-10=30qts\"$ for 2pts
\n" ); document.write( "In doubt? Go back EQN 1:
\n" ); document.write( " $\"2%2A30%2B4%2A10=100pts\"$
\n" ); document.write( " $\"60%2B40=100\"$
\n" ); document.write( " $\"100pts=100pts\"$
\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo \n" ); document.write( "

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