Step 1: Assign variable for the unknown that we need to find.
Let ' x ' be the number of applicants received by University Law School.
Step 2: Set up an equation based on the information given.
"University Law School accepts 2 out of every 15 applicants. If the school accepts 180 students, find how many applicants they received"
[tex] \frac{Accepted \; application}{Applied \; applicants} =\frac{2}{15} =\frac{180}{x} [/tex]
Step 3: Solving the equation
[tex] \frac{2}{15} =\frac{180}{x} \\ Cross \; Multiply\\ \\ 2x=15(180)\\ 2x=2700\\ Divide\; by\; 2\; on\; both\; sides\\ \\ \frac{2x}{2} =\frac{2700}{2} \\ Simplifying\; fraction\; on\; both\; sides\\ \\ x=1350 [/tex]
Conclusion:
The number of applicants received by University Law School is 1350.
