Answer to Question #134464 in Algebra for joseph se

Question

A university employs a total of 680 teaching assistants and research assistants. There are three times as many teaching assistants as research assistants. Find the number of research assistants employed by the university.

Answer 1

Let the number of research assistants be $x$

Then the number of teaching assistants be $3x$

Then ,

$x + 3x=680$

$4x = 680$

$x = \frac{680}{4}$

$x = 170$

Hence the number of research assistants is 170 .