SOLUTION: Mr. Taylor gave his class a test the day after spring break. The average score for all students was 80. The average score for those who passed was 84 and for those that failed was

Question 1128133: Mr. Taylor gave his class a test the day after spring break. The average score for all students was 80. The average score for those who passed was 84 and for those that failed was 60. If there were 60 students in the class, how many failed?
Thank you for your help
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Mr. Taylor gave his class a test the day after spring break. The average score for all students was 80. The average score for those who passed was 84 and for those that failed was 60. If there were 60 students in the class, how many failed?
------------------
Equations:
P + F = 60
84P + 60F = 80*60
-------------------
Modify to solve for F::
84P + 84F = 84*60
84P + 60F = 80*60
-----------------------
24F = 4*60
F = 10 (# who failed)
-------------
Cheers,
Stan H.
---------

RELATED QUESTIONS
In a class test, the average score for the girls was 83 and the average score for the... (answered by ikleyn)

Ms. Norwalk's math class took the same test as Mr. Ellsworth's students. Ms.Norwalk's... (answered by richwmiller)

On a certain test, a class with 10 students had an average score of 60 and a class with... (answered by checkley79)

Twenty students in a chemistry class took a test on which the overall average score was... (answered by ewatrrr)

Mr. Howard has two different classes of sophomore Geometry students. On a recent... (answered by josmiceli)

James and Vanessa were absent for the day of a test. When they returned and took the... (answered by MathTherapy)

The score for half students in a class on a certain test was 90.The score for another... (answered by KMST)

On a certain test, the average score for the women in the class is 83, while the average... (answered by Boreal)