document.write( "Question 1110397: In a test, all questions were fo equal value. If you answered 9 of the first 10 questions correctly, but only 3/10 of the remaining questions correctly, you would have scored 50 percent for the whole test. Find the number of questions in the test. \n" ); document.write( "

Algebra.Com's Answer #725392 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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In a test, all questions were of equal value.
\n" ); document.write( " If you answered 9 of the first 10 questions correctly, but only 3/10 of the remaining questions correctly, you would have scored 50 percent for the whole test.
\n" ); document.write( " Find the number of questions in the test.
\n" ); document.write( ":
\n" ); document.write( "let x = number of questions on the test
\n" ); document.write( "use .3 for 3/10
\n" ); document.write( ":
\n" ); document.write( " $\"%28.3%28x-10%29%2B9%29%2Fx\"$ = .50
\n" ); document.write( ".3x - 3 + 9 = .5x
\n" ); document.write( "-3 + 9 = .5x - .3x
\n" ); document.write( "6 = .2x
\n" ); document.write( "x = 6/.2
\n" ); document.write( "x = 30 questions on the test
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "See if that works
\n" ); document.write( ".3(30-10) + 9 =
\n" ); document.write( ".3(20) + 9
\n" ); document.write( "6 + 9 = 15 which is 50% \n" ); document.write( "

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