Question

BRAINIEST WILL BE GIVEN------ University Law School accepts 2 out of every 15 applicants.  If the school accepts 180 students, find how many applicants they received. 

Answer 1

2 out of 15
2/15=180/x
cross multiply
180*15=2*x
2700=2x
x=1350

Answer 2

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"

$\frac{Accepted \; application}{Applied \; applicants} =\frac{2}{15} =\frac{180}{x}$

Step 3: Solving the equation

$\frac{2}{15} =\frac{180}{x} \\ Cross \; Multiply\\ \\ 2x=15(180)\\ 2x=2700\\ Divide\; by\; 2\; on\; both\; sides\\ \\ \frac{2x}{2} =\frac{2700}{2} \\ Simplifying\; fraction\; on\; both\; sides\\ \\ x=1350$

Conclusion:

The number of applicants received by University Law School is 1350.