document.write( "Question 231957: Before the final exam, a student has 5 test scores of equal weight: 72, 80, 65, 78, and 60. If the final exam counts as one-third of the final grade, what score must the student receive in order to have a final average of 76?
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Before the final exam, a student has 5 test scores of equal weight: 72, 80, 65, 78, and 60. If the final exam counts as one-third of the final grade, what score must the student receive in order to have a final average of 76?
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\n" ); document.write( "Let x = final grade
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\n" ); document.write( "Find the average of the 5 test scores
\n" ); document.write( " $\"%2872%2B80%2B65%2B78%2B60%29%2F5\"$ = 71
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\n" ); document.write( "This counts as 2/3, twice as much as the final which is 1/3
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\n" ); document.write( " $\"%282%2871%29+%2B+x%29%2F3\"$ = 76
\n" ); document.write( "142 + x = 3(76)
\n" ); document.write( "x = 228 - 142
\n" ); document.write( "x = 86 to have an average of 76
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