document.write( "Question 15167: to stimulate his daughter in the pursuit of problem solving, a math professor offered to pay her $8 for every equation correctly solved and to fine her $5 for every incorrect solution. At the end of the first 26 problems of this problem set, neither owed any money to the other. How many problems did the daughter solve?\r
\n" ); document.write( "\n" ); document.write( "I found out the answer is ten I don't know how to set this problem up to get the answer 10. \n" ); document.write( "

Algebra.Com's Answer #7534 by rapaljer(4671) $\"\"$ $\"About$

You can put this solution on YOUR website!
If there are 26 problems, let x = number right, and therefore the number wrong will be all the rest, which is 26-x. The equation is due to the fact that 8 times the number right minus 5 times the number wrong equals zero.\r
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\n" ); document.write( "\n" ); document.write( "8x - 5(26-x) = 0
\n" ); document.write( "8x - 130 + 5x = 0
\n" ); document.write( "13x - 130=0
\n" ); document.write( "13x -130 + 130 = 0+130
\n" ); document.write( "13x = 130
\n" ); document.write( "x= 10 Questions right
\n" ); document.write( "26-10 = 16 Questions wrong\r
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\n" ); document.write( "\n" ); document.write( "Check: $8*10 - $5*16 = 0\r
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\n" ); document.write( "\n" ); document.write( "R^2 at SCC \n" ); document.write( "

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