document.write( "Question 1014099: Waseem score 30% of the marks in an exam,and fails by 60 marks.Waqar scores 40% of the marks in the same exam and passes by 20 marks .What is the maximum number of marks in this exam? \n" ); document.write( "

Algebra.Com's Answer #630463 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Waseem score 30% of the marks in an exam,and fails by 60 marks. \
\n" ); document.write( "Waqar scores 40% of the marks in the same exam and passes by 20 marks .\
\n" ); document.write( "What is the maximum number of marks in this exam?
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\n" ); document.write( "let m = maximum marks on the exam
\n" ); document.write( "let p = no. of marks required to pass
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\n" ); document.write( "\" Waseem score 30% of the marks in an exam,and fails by 60 marks.\"
\n" ); document.write( ".3m = p - 60
\n" ); document.write( "\" Waqar scores 40% of the marks in the same exam and passes by 20 marks \"
\n" ); document.write( ".4m = p + 20
\n" ); document.write( ":
\n" ); document.write( "Use elimination here
\n" ); document.write( "Subtract the 1st equation from the 2nd equation
\n" ); document.write( ".4m = p + 20
\n" ); document.write( ".3m = p - 60
\n" ); document.write( "-------------subtraction eliminates p, find m
\n" ); document.write( ".1m = 80
\n" ); document.write( "m = 80/.1
\n" ); document.write( "m = 800 is the maximum number of marks
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\n" ); document.write( "See if that checks out, find p
\n" ); document.write( ".4(800) = p + 20
\n" ); document.write( "320 - 20 = p
\n" ); document.write( "p = 300 is passing
\n" ); document.write( "See if that works in the 1st equation; .3m = p - 60
\n" ); document.write( ".3(800) = 300 - 60
\n" ); document.write( "240 = 240, confirms our solution
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