document.write( "Question 752550: if there are 30 questions on a test. Each question is worth either 2 or 3 points. The total is 78 points. How many of each type is on the test?\r
\n" ); document.write( "\n" ); document.write( "How do i write this equation and solve?
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Algebra.Com's Answer #457870 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
Let x = the number of questions worth two points each.
\n" ); document.write( "The remainder (that's 30-x) are worth three points each.
\n" ); document.write( "The sum of these is 78 points.
\n" ); document.write( "So we can write the equation:
\n" ); document.write( "\"2x+%2B+3%2830-x%29+=+78\" Solve for x.
\n" ); document.write( "\"2x+%2B+90-3x+=+78\" Combine the x's.
\n" ); document.write( "\"-x+%2B+90+=+78\" Subtract 90 from both sides.
\n" ); document.write( "\"-x+=+-12\" so...
\n" ); document.write( "\"x+=+12\"
\n" ); document.write( "There are 12 two-point questions and 18 three-point questions.
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