document.write( "Question 17087: Denise did 7/8 of the problems on the quiz correctly and 5 incorrectly. She did all the problems. How many problems were there?\r
\n" ); document.write( "\n" ); document.write( "I get 7/8 is 87.5%, but I can't figure up how to set up the problem. \n" ); document.write( "

Algebra.Com's Answer #8266 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
You can let x = the number of problems on the quiz. Denise did (7/8) of x correctly and 5 of the problems incorrectly, so altogether she did (7/8)x + 5 problems. You can set up an equation as follows:\r
\n" ); document.write( "\n" ); document.write( " $\"%287%2F8%29x+%2B+5+=+x\"$ Simplify and solve for x. Subtract (7/8)x from both sides.
\n" ); document.write( " $\"5+=+x+-+%287%2F8%29x\"$
\n" ); document.write( " $\"5+=+%281%2F8%29x\"$ Multiply both sides by 8.
\n" ); document.write( " $\"x+=+40\"$
\n" ); document.write( "There were 40 problems on the quiz.\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );