Question

Решите пожалуйста с УСЛОВИЕМ 6 класс Для учащихся 1 класса приготовил одинаковые подарки. Во всех подарках было 120 шоколадок, 280 конфет и 320 орехов. Сколько учащихся в 1 классе, если известно, что их больше 30?

Answer 1

Ответ:

шоколадок - 120 штук.

конфет - 280 штук

орехов - 320 штук

Пошаговое объяснение:

Здесь надо находить НОД, поэтому:

120=2³×3×5

280=2³×5×7

320=2⁶×5

НОД равен 40, значит и учеников 40.

Answer 2

Solution for the 6th Grade Problem

To solve the problem, we need to find out how many students are in the 1st grade, given that there are more than 30 students and they all received the same gifts. The gifts contained 120 chocolates, 280 candies, and 320 nuts each.

Let's denote: - C as the number of chocolates in each gift (120) - N as the number of candies in each gift (280) - O as the number of nuts in each gift (320) - S as the total number of students in the 1st grade

We can set up the following equation to solve for S: \[ S \times (C + N + O) > 30 \]

Calculation

\[ S \times (120 + 280 + 320) > 30 \] \[ S \times 720 > 30 \] \[ S > \frac{30}{720} \] \[ S > \frac{1}{24} \]

Since the number of students cannot be a fraction, we need to find the smallest whole number greater than \(\frac{1}{24}\).

Answer

The smallest whole number greater than \(\frac{1}{24}\) is 2. Therefore, there are at least 2 students in the 1st grade.

This calculation is based on the assumption that the number of students is a whole number and that there are more than 30 students in the 1st grade.