The University of Selectivity had an acceptance rate of 20 percent for the year 2006, with an incoming class of 300 freshmen. Between 2006 and 2007, the number of applications they received increased by 30 percent, but the number of students admitted remained the same. Rounded to the nearest percent, what is the university’s acceptance rate for 2007?

Question

The University of Selectivity had an acceptance rate of 20 percent for the year 2006, with an incoming class of 300 freshmen. Between 2006 and 2007, the number of applications they received increased by 30 percent, but the number of students admitted remained the same. Rounded to the nearest percent, what is the university’s acceptance rate for 2007?

Answer 1

The number accepted was 300 both years.

There were 1500 applications in 2006.
There were 1.3*1500 = 1950 applications in 2007.
300/1950 = 15.385% is the 2007 acceptance rate.
Round that off to 15%

You don't need algebra for this.

You can also calculate
(1/1.3)*0.2 directly, and get the same answer

Answer 2

To determine the acceptance rate for the year 2007, we need to calculate the number of students admitted and the number of applications received.

Number of applications received in 2006 = 300 / (0.20) = 1500
Increase in the number of applications received in 2007 = 1500 * (30/100) = 450
Number of applications received in 2007 = 1500 + 450 = 1950

Since the number of students admitted remained the same, the acceptance rate for 2007 would be:
Acceptance rate for 2007 = (300 / 1950) * 100

Now, let's calculate the acceptance rate:

Acceptance rate for 2007 = (300 / 1950) * 100
= 15.38

Rounding this to the nearest percent, the university's acceptance rate for 2007 is approximately 15 percent.

Answer 3

To find the university's acceptance rate for 2007, we need to determine the number of applicants and the number of students admitted in that year.

Given:
Acceptance rate in 2006 = 20%
Incoming class in 2006 = 300

Let's calculate the number of applicants in 2007:
1. Increase the number of applications received in 2006 by 30%:
Number of applications in 2007 = Number of applications in 2006 + (30% of Number of applications in 2006)

Number of applications in 2007 = 300 + (0.3 * 300) = 390

Since the number of students admitted remained the same between 2006 and 2007, we can assume that 300 students were admitted in 2007.

Now, let's calculate the acceptance rate for 2007:
Acceptance rate in 2007 = (Number of students admitted in 2007 / Number of applications in 2007) * 100

Acceptance rate in 2007 = (300 / 390) * 100 ≈ 76.9%

Rounded to the nearest percent, the university's acceptance rate for 2007 is 77%.