document.write( "Question 145395: Professor Williamson counts his midterms as 2/3 of the grade and his final as 1/3. Wendy scored only a 48 on the midterm. What range of score on the final would put Wendy's average between 70 and 79 inclusive? \n" ); document.write( "

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Professor Williamson counts his midterms as 2/3 of the grade and his final as 1/3. Wendy scored only a 48 on the midterm. What range of score on the final would put Wendy's average between 70 and 79 inclusive?
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\n" ); document.write( "Let x = final grade (which counts 1/3 of the grade)
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\n" ); document.write( " $\"%2848+%2B+48+%2B+x%29%2F3\"$ = 70
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\n" ); document.write( "96 + x = 3(70)
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\n" ); document.write( "x = 210 - 96
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\n" ); document.write( "x = 114 to get an av grade of 70
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\n" ); document.write( "and
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\n" ); document.write( " $\"%2848+%2B+48+%2B+x%29%2F3\"$ = 79
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\n" ); document.write( "96 + x = 3(79)
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\n" ); document.write( "x = 237 - 96
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\n" ); document.write( "x = 141 to get an av grade of 79
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\n" ); document.write( "The range would be 114 to 141 \n" ); document.write( "

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