Question

a local university has 2.815 Hispanic students out of a total student population of 20.250. Do the Hispanic students have proportional representation at the university?
____________________________
Race Percent of population
___________________________
white 45
Hispanic 27
Black 18
Asian 7
other 3
__________________________

b. how many more Hispanic students would the university need n order for the Hispanic students to ave proportional representation?

Answer 1

Given:
The race percent of population is
White:      45%
Hispanic: 27%
Black:       18%
Asian:        7%
Other:        3%

Part a.
The university has 2,815 Hispanic out of the 20,250 total population.
This is equivalent to (2815/20250)*100 = 13.9%
This percentage is less than 27%, so Hispanics do not have proportional representation.

Answer: The Hispanic students do not have proportional representation.

Part b.
Let x =  the extra number of Hispanic students needed for proportional representation of 27% or 0.27.
Then
(2815 + x)/20250 = 0.27
2815 + x = 20250*0.27 = 5467.5
x = 5467.5 - 2815 = 2652.5

This means that 2,653 extra Hispanic students are required for a population of 20,250 students.

Answer: 2,653 extra Hispanic students.