document.write( "Question 104789This question is from textbook Pretice hall mathematics. Algebra 1
\n" ); document.write( ": Your teacher is giving you a test worth 100 points containing 40 questions. There are two-point and four-point questions on the test. how many of each are on the test?\r
\n" ); document.write( "\n" ); document.write( "K what we have to do is write two linear equations and solve them, I have no idea how to do it so i need help please! \n" ); document.write( "
Algebra.Com's Answer #76253 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
Start with what you know.
\n" ); document.write( "Give the unknown variables a name.
\n" ); document.write( "T - number of two point problems
\n" ); document.write( "F - number of four point problems
\n" ); document.write( "There are 40 problems total or in algebraic terms,
\n" ); document.write( "1.\"T%2BF=40\"
\n" ); document.write( "For each two point problem, you get two points, and
\n" ); document.write( "for each four point problem, you get four points, and
\n" ); document.write( "the total value of all of the problems is 100. Or in algebraic terms,
\n" ); document.write( "2.\"2%2AT%2B4%2AF=100\"
\n" ); document.write( "Now you have two equations and two variable to solve for.
\n" ); document.write( "Use (1) and substitute into (2).
\n" ); document.write( "\"T%2BF=40\"
\n" ); document.write( "\"T%2BF-F=40-F\"
\n" ); document.write( "\"T=40-F\"
\n" ); document.write( "Use this result in equation (2).
\n" ); document.write( "\"2%2AT%2B4%2AF=100\"
\n" ); document.write( "\"2%2A%2840-F%29%2B4%2AF=100\" Substitute.
\n" ); document.write( "\"80-2F%2B4F=100\"Distributive property.
\n" ); document.write( "\"80%2B2F=100\" Simplify.
\n" ); document.write( "\"80-80%2B2F=100-80\" Additive inverse of 80.
\n" ); document.write( "\"2F%2F2=20%2F2\" Multplicative inverse of 2
\n" ); document.write( "\"F=10\"
\n" ); document.write( "Now use equation 1 again, remember
\n" ); document.write( "\"T=40-F\"
\n" ); document.write( "\"T=40-10\"
\n" ); document.write( "\"T=30\"
\n" ); document.write( "Check your answers.
\n" ); document.write( "\"2%2AT%2B4%2AF=100\"
\n" ); document.write( "\"2%2A30%2B4%2A10=100\"
\n" ); document.write( "\"60%2B40=100\"
\n" ); document.write( "\"100=100\"
\n" ); document.write( "Good answers.
\n" ); document.write( "30 two point problems and 10 four point problems on the test. \n" ); document.write( "
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