SOLUTION: A student who has already completed 30 semester-hours with a GPA of 2.50 at Harper college needs to raise her GPA to 2.75 to meet transfer requirements into one college program. Ho

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A student who has already completed 30 semester-hours with a GPA of 2.50 at Harper college needs to raise her GPA to 2.75 to meet transfer requirements into one college program. Ho      Log On


   

Question 257553: A student who has already completed 30 semester-hours with a GPA of 2.50 at Harper college needs to raise her GPA to 2.75 to meet transfer requirements into one college program. How many semester hours with a grade of A would be required to meet this goal? How many grade points will the student have if this goal is met? (Assume an A = 4 points)
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
(30*2.5+4x)/(30+x)=2.75
(75+4x)/(30+x)=2.75
75+4x=2.75(30+x)
75+4x=82.5+2.75x
4x-2.75x=82.5-75
1.25x=7.5
x=7.5/1.25
x=6 semister hours of As are needed.
Proof:
(30*2.5+4*6)/(30+6)=2.75
(75+24)/36=2.75
99/36=2.75
2.75=2.75