document.write( "Question 174906: Your science test is worth 100 points and contains 38 questions.there are two-point and five point questions on the test.How many of each type of question are on the test? \n" ); document.write( "

Algebra.Com's Answer #129973 by actuary(112) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let x = the number of 2-point questions
\n" ); document.write( "Let y = the number of 5 point questions\r
\n" ); document.write( "\n" ); document.write( "x + y = 38 (There are 38 total questions)(Equation #1)\r
\n" ); document.write( "\n" ); document.write( "x*2 + y*5 = 100 (The total number of points is 100) (Equation #2)\r
\n" ); document.write( "\n" ); document.write( "Equation #1 can be rewritten as y = 38-x\r
\n" ); document.write( "\n" ); document.write( "This can be used to replace \"y\" in equation #2\r
\n" ); document.write( "\n" ); document.write( "So 2*x + 5*(38-x)=100\r
\n" ); document.write( "\n" ); document.write( "So 2*x+190-5*x=100\r
\n" ); document.write( "\n" ); document.write( "Therefore -3*x=100-190=-90\r
\n" ); document.write( "\n" ); document.write( "Solve -3*x = -90 for x by dividing each side of the equation by 3, x = 30\r
\n" ); document.write( "\n" ); document.write( "Since x = 30, y = 38-30 = 8 (Using equation #1)\r
\n" ); document.write( "\n" ); document.write( "I hope that this helps.\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );