Final answer:
To determine the number of engineering students, a proportion based on the given ratio of 19 engineering students for every 81 students was set up. After cross-multiplying and simplifying, it was found that there are approximately 143 engineering students enrolled in the college with 750 total students.
Step-by-step explanation:
To find the number of engineering students in a college with a total enrollment of 750 students, given that there are 19 engineering students for every 81 students enrolled, we set up a proportion and solve for the number of engineering students (E).
The total number of students is the sum of engineering students and other students, so we have:
19 engineering students / 81 other students = E engineering students / (750 - E) other students
We can then cross-multiply to solve for E:
19 × (750 - E) = 81 × E
This simplifies to:
14250 - 19E = 81E
Now, we combine like terms:
14250 = 100E
And we divide both sides by 100 to solve for E:
E = 142.5
Since the number of students must be a whole number, we round to the nearest whole number yielding approximately 143 engineering students.