CPM Homework Help : INT1 Problem A-84

Solve this problem by defining one variable and then writing and solving an equation. Write your solution in a sentence.

West High School’s population is $250$ students fewer than twice the population of East High School. The two schools have a total of $2858$ students. How many students attend East High School?

Step 1:

Define a variable.

$x = \text{the number of East High School students}$

Step 2:

Write an expression that defines the number of West High students in terms of the variable.

$2x − 250 = \text{the number of West High students}$

Step 3:

Write an equation using the total population of the two schools.

$x + \left(2x − 250\right) = 2858$

Step 4:

Solve for $x$ .