A community college has 3,000 students and 90 instructors. The college plans that enrollment will be 3,500 next year. How many new instructors should be hired if the college wants to keep the same student to instructor ratio?

13 instructors
15 instructors
105 instructors
77 instructors

Ratio:

3000/90 = 3500/x

Cross multiply:

3000x = 315000
x = ?

Cross multiply 3000/90=3500/x

3000x=315,00 divide each side by 3000 and you get x=105 then take 105 and subtract from the original number of 90 and you get 15. So they need to hire 15 more instructors to keep the same student/teacher ratio.

A person hires his firm to build a Cb radio tower. The firm charges $100 for labor for the first ten feet.

After, that the cost of the labor for each succeeding 10 feet is $25 more than the preceding 10 feet. That is, the next feet will cost $125, the next 10 feet will cost $150, etc. How much will it cost to build a 90-foot tower?

To find out how many new instructors should be hired to maintain the same student to instructor ratio, we first need to calculate the current student to instructor ratio.

The current student to instructor ratio is given by:

Student to instructor ratio = Number of students / Number of instructors

Student to instructor ratio = 3000 / 90

Student to instructor ratio = 33.33

Now, let's calculate the number of instructors needed for the projected enrollment of 3500 students, while maintaining the same ratio.

Number of instructors needed = Number of students / Student to instructor ratio

Number of instructors needed = 3500 / 33.33

Number of instructors needed ≈ 105

Therefore, the correct answer is 105 instructors.