Lacoste middle school surveyed its student population about their favorite mobile
apps. the 786 students who listed facebook as their favorite app represented 32
fewer students than two times the number of students who listed instagram as their
favorite app. how many students listed instagram as their favorite app?

The correct answer is:

409

Explanation:

Let x be the number of students who listed instagram as their favorite.  "32 fewer than two times" x would be

2x-32

We know that this is the number who preferred the other site, which is 786:

2x-32 = 786

Add 32 to each side:

2x-32+32 = 786+32

2x = 818

Divide both sides by 2:

2x/2 = 818/2

x = 409

its 50 miles away from the starting point