document.write( "Question 773216: Josh wants to learn a minimum grade of an 85 this semester in algebra. His test and class work on average is an 82, this grade will count as 80% of his semester grade. His exam will be worth 100 points and will count as 20% of his total grade. Write and solve an inequality to determine what minimum grade Josh must make on his exam to earn an 85/B for his final grade. Please help to explain how to do this, you don't have to give me the answer just simply explain.. =) \n" ); document.write( "

Algebra.Com's Answer #471421 by ramkikk66(644) $\"\"$ $\"About$

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document.write( "Josh wants to learn a minimum grade of an 85 this semester in algebra. His test and class work on average is an 82, this grade will count as 80% of his semester grade. His exam will be worth 100 points and will count as 20% of his total grade. Write and solve an inequality to determine what minimum grade Josh must make on his exam to earn an 85/B for his final grade. \r\n" );
document.write( "Ans:\r\n" );
document.write( "Say he scores x/100 in the final exam.\r\n" );
document.write( "The class work score of 82/100 carries 80% weightage. The final exam score (x/100)\r\n" );
document.write( "will carry 20% weightage.\r\n" );
document.write( "This is similar to saying that the final score is the sum of the scores in 2 tests\r\n" );
document.write( "- class work test of 80 marks and final exam of 20 marks.\r\n" );
document.write( "The overall grade of 85 is the sum of 2 scores:\r\n" );
document.write( "1) Class work score with 80% weightage = 82 * 80* = 65.6. In other words, \r\n" );
document.write( "scoring 82/100 in the class test is the same as scoring 65.6/80 in the final\r\n" );
document.write( "grade.\r\n" );
document.write( "2) Final exam score with 20% weightage = (x)*20% = 0.2*x. In other words, \r\n" );
document.write( "scoring x/100 in the final test is the same as scoring 0.2*x in the final\r\n" );
document.write( "grade.\r\n" );
document.write( "Now the final grade is the sum of the 2, and has to be at least 85.\r\n" );
document.write( "So you have the inequality\r\n" );
document.write( "\r\n" );
document.write( "Simplifying\r\n" );
document.write( " or \r\n" );
document.write( "He has to score at least 97/100 or higher in the final exam to get an overall\r\n" );
document.write( "grade of 85.\r\n" );
document.write( "Hope you got it :)\r\n" );
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