There are 884 students enrolled at a certain college. the number of students from indiana is exactly three times the number of students from the rest of the country and abroad. write a pair of linear equations to represent the information. be sure to state what the variables represent. find the number of students who are from from indiana. show your work.

Let the no. Of students from Indiana be x

Let the no. Of students from the rest of the country and abroad be y

x = 3y (Given) (i)

x + y = 884 (Given) (ii)

Subtract equation (ii) from 1

x -3y = 0

-(x+y = 884)

-4y = -884

Therefore y = 221

Therefore no. Of students from the rest of the country and abroad is 221

Substituting the value of y in (i)

x = 3 x 221

Therefore x = 663

Therefore no. Of students from Indiana is 663

Hope this helps!

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