Xander and Pedro are at an ice cream social. For every scoop of ice cream, Xander uses 𝟣 over 8 cup of fruit topping. Pedro uses one more tablespoon of fruit topping than the number of scoops. If Xander and Pedro each use the same amount of fruit topping, how many scoops of ice cream does each use?

Answer 1

Let "s" be the number of scoops of ice cream that Xander uses and "t" be the number of tablespoons of fruit topping he uses.
Xander uses t = 1/8 * s tablespoons of fruit topping.
Pedro uses s + 1 tablespoons of fruit topping.
Since both use the same amount of fruit topping, 1/8 * s = s + 1.
Multiplying both sides by 8, we get s = 8 * (s + 1).
Multiplying through the parentheses, we get s = 8s + 8.
Subtracting 8s from both sides, we get 0 = 7s + 8.
Subtracting 8 from both sides, we get -8 = 7s.
Dividing both sides by 7, we get -8/7 = s. Answer: \boxed{-\dfrac{8}{7}}.