Question

quadrangle college has space for 740 students in the first - year class. the college estimates that 65% of the students who are admitted will actually attend the college. how many students should be admitted?

Explanation:

Step1: Define variables and relationship

Let $x$ = number of students to admit. We know $0.65x = 740$, since 65% of admitted students equal the target 740.

Step2: Solve for x

Rearrange to isolate $x$: $x = \frac{740}{0.65}$

Step3: Calculate the value

$x = \frac{740}{0.65} \approx 1138.46$
Since we can't admit a fraction of a student, we round up to the next whole number to ensure we meet the 740-student target.

Answer:

1139