document.write( "Question 134393: Professor Davis counts his midterm as 2/3 of the grade, and his final as 1/3 of the grade. Jason scored only 64 on the midterm. What range of scores on the final exam would put Jason's average between 70 and 79 inclusive? \n" ); document.write( "

Algebra.Com's Answer #98318 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
Professor Davis counts his midterm as 2/3 of the grade, and his final as 1/3 of the grade. Jason scored only 64 on the midterm. What range of scores on the final exam would put Jason's average between 70 and 79 inclusive?
\n" ); document.write( ":
\n" ); document.write( "You can do it this way:
\n" ); document.write( ":
\n" ); document.write( "Lower limit equation
\n" ); document.write( " $\"%2864+%2B+64+%2B+x%29%2F3\"$ => 70
\n" ); document.write( "128 + x => 210; multiplied eq by 3
\n" ); document.write( ":
\n" ); document.write( "x => 210 - 128
\n" ); document.write( "x => 82 is the lowest grade he can have.
\n" ); document.write( ":
\n" ); document.write( "Upper limit equation
\n" ); document.write( " $\"%2864+%2B+64+%2B+x%29%2F3\"$ =< 79
\n" ); document.write( "128 + x =< 237; multiplied eq by 3
\n" ); document.write( ":
\n" ); document.write( "x =< 237 - 128
\n" ); document.write( "x =< 109 is not a possible score.
\n" ); document.write( ":
\n" ); document.write( "We can say that scores of 82 to 100 will place him in this range \n" ); document.write( "

\n" );