SOLUTION: Different Weights. Professor Williamson counts his midterm as 2/3 of the grade and his final as 1/3 of the grade. Wendy scored only 48 on the midterm. What range of scores on the

Question 158017: Different Weights. Professor Williamson counts his midterm as 2/3 of the grade and his final as 1/3 of the grade. Wendy scored only 48 on the midterm. What range of scores on the final exam would put Wendy�s average between 70 and 79 inclusive?

Answer by jojo14344(1513) (Show Source): You can put this solution on YOUR website!
Let

Let's start with an average of 70 (MIN) first:
Given

, cross multiply
, MINIMUM SCORE on Final Exam
Next with an average of 79 (MAX): Given

, cross multiply
, MAX SCORE on Final Exam
Therefore:To have an average of inclusive, he should have a final score of inclusive.
Check it out by substituting 1st , 2nd to the above eqn and you'll get an average of 70 and 79 inclusive.
thank you,
jojo

RELATED QUESTIONS
If someone can help me understand on the steps of how to solve this word problem.... (answered by richwmiller)

Professor williamson counts his midterm as 2/3 of the grade and his final as 1/3 of the... (answered by Theo)

Professor Williamson counts his midterms as 2/3 of the grade and his final as 1/3. Wendy (answered by ankor@dixie-net.com)

Different weights. Professor Williamson counts his midterm as 2/3 of the grade and his... (answered by solver91311)

Professor W. counts his midterm as 2/3 of the grade and the final as 1/3 of the grade.... (answered by funmath)

professor williams counts his midterm as 2/3 of the grade and his final as 1/3 of the... (answered by Mathtut,gonzo)

Professor Counts his midterms as 2/3 of the grade and his final as 1/3of the grade. If... (answered by nerdybill)

Professor Counts his midterms as 2/3 of the grade and his final as 1/3of the grade. If... (answered by ankor@dixie-net.com)

Ronald wants to sell his car through a broker who charges a commission of 10% of the... (answered by josmiceli)