SOLUTION: The students in math class took an exam. They all got different grades ranging from A-F. Rachel received neither an A nor an F. Pat got a lower score than Rachel. Bill scored below

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: The students in math class took an exam. They all got different grades ranging from A-F. Rachel received neither an A nor an F. Pat got a lower score than Rachel. Bill scored below      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1058473: The students in math class took an exam. They all got different grades ranging from A-F. Rachel received neither an A nor an F. Pat got a lower score than Rachel. Bill scored below Sue. Andy scored higher than Rachel but not Bill. Who got the A. You should be able to assign all five grades.
Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52835) About Me  (Show Source):
You can put this solution on YOUR website!
.
The students in math class took an exam. They all got different grades ranging from A-F.
Rachel received neither an A nor an F.
Pat got a lower score than Rachel.
Bill scored below Sue.
Andy scored higher than Rachel but not Bill.
Who got the A. You should be able to assign all five grades.
~~~~~~~~~~~~~~~~~~

Who got the A ?

Answer. Sue.

Solution 

Not Rachel.    ("Rachel received neither an A nor an F.")

Not Pat.       ("Pat got a lower score than Rachel.")

Not Bill.      ("Bill scored below Sue.")

Nor Andy.      ("Andy scored higher than Rachel but not Bill.")


   ====>  The only remained possibility is Sue.

Solved.

Thanks for sending this problem.


-----------------------
Regarding the rest of the students, their grades are 

Bill      B
Andy      C
Rashel    D
Pat       F


Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!

The students in math class took an exam. They all got different grades ranging from A-F. Rachel received neither an A nor an F. Pat got a lower score than Rachel. Bill scored below Sue. Andy scored higher than Rachel but not Bill. Who got the A. You should be able to assign all five grades.
Grades: A, B, C, D, F



Rachel > Pat

Andy > Rachel

Bill > Andy

Sue > Bill

Since no 2 grades repeat, and each grade was assigned, from above, we get: