The student-to-faculty ratio at a small collage is 17:3. The total number of students and faculty is 740. How many faculty members are there at the collage? How many students?

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absor201 absor201 · Answer 1 · 2019-12-15T11:14:18+01:00

There are 111 faculty members at the college and 629 students at the college.

Step-by-step explanation:

Given,

The student to faculty ratio = 17:3

Total number of 740.

Let,

x be the original number.

Number of students = 17x

Number of faculty = 3x

Number of students + Number of faculty = 740

[tex]17x+3x=740\\20x=740[/tex]

Dividing both sides by 20

[tex]\frac{20x}{20}=\frac{740}{20}\\x=37[/tex]

Number of students = 17x = 17*37 = 629

Number of faculty = 3x = 3*37 = 111

There are 111 faculty members at the college and 629 students at the college.

Keywords: ratio, multiplication

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