Solve by setting up a system of linear equations with 2 variables and 2 unknowns. Two hundred seventy six students enrolled in a freshmen-level chemistry class. By semester's end, 5 times the number of students passed as failed. Find the number of students who passed the chemistry course.

Let us say,

x=number of students who passed

y=number of students who failed

total number of students = 276

x+y=276 ... (1)

We are given 5 times the number of students passed as failed.

x=5y ... (2)

plugging value of x from (2) in (1),

5y+y=276

6y=276

y=46

x=5y=46*5=230

x=number of students who passed=230