For every 7 chocolate cookies in a bag, there are 3 almond cookies. There are 84 more chocolate cookies than almond cookies in the bag. How many almond cookies are there?
Let x be the number of almond cookies in the bag.
Then the number of chocolate cookies in the bag is x + 84.
We know that for every 7 chocolate cookies, there are 3 almond cookies, so we can set up the equation (x + 84)/7 = 3 * x.
Multiplying both sides of the equation by 7 gives us x + 84 = 21 * x.
Subtracting x from both sides of the equation gives us 84 = 20 * x.
Dividing both sides of the equation by 20 gives us x = 4.
Thus, there are 4 almond cookies in the bag. Answer: \boxed{4}.