234k views
1 vote
A college has 19 engineering students for every 81 students enrolled. if the college has 750 students, approximately how many are engineering students

1 Answer

3 votes

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.

User JoeyC
by
6.2k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.