2.1. Vasya loves to collect mushrooms. He calculated that over the autumn he collected a number of mushrooms that is expressed by a three-digit number, the sum of the digits of which is 14. Then Vasya calculated that 8% of the collected mushrooms were white, and 14% were boletus. How many mushrooms did Vasya collect?
Answer: 950.

Solution. For $14 \%$ of the number of mushrooms to be an integer, it is necessary for the total number of mushrooms to be a multiple of 50. Then the last two digits are 00 or 50. But if a three-digit number ends with two zeros, the sum of the digits cannot be greater than 9, so the last two digits must be 50, i.e., the first digit is $14-5-0=9$.