How many customers did it take to make 22,500 sales.

Question

4 types of customers bought 22,500 times in 1 year :

1. 10% bought 1 time
2. 12% bought 3 times
3. 15% bought 6 times
4. 63% bought 12 times

How many customers total bought in 1 year?

Answer 1

Write (0.10C)(1) + (0.12C)(3) + (0.15C)(6) + (0.63C)(12) = 22500, where C represents the number of customers who made purchases in this one-year period.

(0.1C)(1) + (0.12C)(3) + (0.15C)(6) + (0.63C)(12) = 22500 condenses to (0.1+0.36+0.90+7.56)C = 22500 or

C = 22500/8.92 which gives C equal to 2522.4215246636771300448430493274 or 2522 Customers.