document.write( "Question 1186022: John sat for a Mathematics test. In the first 30 minutes, he
\n" ); document.write( "had completed 1/4 of the test. In the next hour, he had
\n" ); document.write( "completed another 33 questions in the ratio of the number
\n" ); document.write( "of questions that were answered to those that were
\n" ); document.write( "unanswered became 4:1.
\n" ); document.write( "How many questions did he answer altogether? \n" ); document.write( "

Algebra.Com's Answer #816884 by ikleyn(52878) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "John sat for a Mathematics test. In the first 30 minutes, he
\n" ); document.write( "had completed 1/4 of the test. In the next hour, he had
\n" ); document.write( "completed another 33 questions in the ratio of the number
\n" ); document.write( "of questions that were answered to those that were
\n" ); document.write( "unanswered became 4:1.
\n" ); document.write( "How many questions did he answer altogether $\"highlight%28so_far%29\"$ ?
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "Let x be the total number of questions in the test.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "During first 30 minutes,   questions were answered.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Then 33 additional questions were answered.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Now we have    questions answered and  x -  =   questions unanswered.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The ratio equation is\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "     =  = 4.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "It means that\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "     = ,\r\n" );
document.write( "\r\n" );
document.write( "or\r\n" );
document.write( "\r\n" );
document.write( "     = 3x - 132.\r\n" );
document.write( "\r\n" );
document.write( "    33 + 132 = \r\n" );
document.write( "\r\n" );
document.write( "    165 = \r\n" );
document.write( "\r\n" );
document.write( "     x  =  = 60.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So, 60 questions were there in the test, in all.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Altogether, he answered 60/4 + 33 = 15 + 33 = 48 questions, so far.    ANSWER\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );