The student to faculty ratio at a small college is 17:3. The total of students to faculty is 740. How many faculty members are there at the college? How many students?
students --- 17x
faculty ----- 3x
17x+3x = 740
carry on
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The larger of the two numbers is ten more than twice the smaller number the sum of the numbers
Is forty find each number
To find the number of faculty members at the college, we can set up a proportion using the student to faculty ratio.
Let x represent the number of faculty members.
The proportion can be set up as:
17 students / 3 faculty = 740 students / x faculty
To solve for x, we can cross-multiply.
17 * x = 3 * 740
Simplifying the expression, we have:
17x = 2220
Dividing both sides of the equation by 17, we get:
x = 130
Therefore, there are 130 faculty members at the college.
To find the number of students, we can use the total number of students given in the question, which is 740.