Quantitative reasoning

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The administration has formed a 26 person planning committee. There are 5 times as many administrators as there are students and five more faculty members than students. How many students are there on the committee?

• Quantitative reasoning -

Let a = administrators
Let f = faculty
Let s = students
-----------------
a + f + s = 26
5s = a
s+5 = f

solve for s,a,f.

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