Question 675645
Let R = the number of students in the MBA (regular) degree program
Let I = the number of students in the MBA (information technology) degree program
Let E = the number of students in the MBA (executive) degree program

we know that the number of students in the regular program = the number of students in the information technology program plus the number of students in the executive program so:
R=I+E

we also know that the number of executive students is 50 more than the number of information technology students so:
E=I+50

we also know that all three programs added together equals 300

we want to solve for one variable
so plug the value (I+50) we have for E into what we have for R
so: R=I+E becomes R=I+I+50

so we have I
R=I+I+50
E=I+50

I+R+E=50
I+I+I+50+I+50=300
4I+100=300
4I=200
I=50

R=I+I+50 so R=50+50+50=150
E=I+50 so E=50+50=100

answer: there are 50 students in the information technology program, 100 students in the executive program, and 150 students in the regular program