Question

На ферму завезли корм, его хватит коровам на 24 дня, а козам - на 48 дня. На сколько дней хватит корма коровам и козам вместе?С объяснениями и по действиям.

Answer 1

1) 1 : 24 = 1/24 часть корма потребуется в 1 день коровам

2) 1 : 48 = 1/48 часть корма потребуется в 1 день козам

3) 1/24 +1/48 = 1/16 часть корма потребуется в 1 день коровам и козам вместе

4) 1: 1/16= на 16 дней хваити корма коровам и козам

Answer 2

Problem Analysis

We are given that the amount of feed brought to the farm is sufficient for the cows for 24 days and for the goats for 48 days. We need to determine how many days the feed will last for both cows and goats together.

Solution

To find out how many days the feed will last for both cows and goats together, we need to find the least common multiple (LCM) of 24 and 48. The LCM is the smallest number that is divisible by both 24 and 48.

To find the LCM, we can use the prime factorization method or the division method. Let's use the division method in this case.

1. Find the prime factors of 24 and 48: - Prime factors of 24: 2, 2, 2, 3 - Prime factors of 48: 2, 2, 2, 2, 3

2. Write the prime factors in a vertical column and take the highest power of each prime factor: - 2^3, 3^1

3. Multiply the prime factors with their highest powers: - 2^3 * 3^1 = 8 * 3 = 24

Therefore, the LCM of 24 and 48 is 24.

Answer

The feed will last for both cows and goats together for 24 days.

Explanation

The feed brought to the farm is sufficient for the cows for 24 days and for the goats for 48 days. Since the LCM of 24 and 48 is 24, it means that the feed will last for both cows and goats together for 24 days.

Verification

Let's verify the answer by checking if the feed will indeed last for both cows and goats for 24 days.

- For cows: The feed is sufficient for 24 days. - For goats: The feed is sufficient for 48 days.

Since the feed will last for both cows and goats individually for the given number of days, it will also last for both cows and goats together for the same number of days, which is 24 days.

Therefore, the answer is verified.

Note: The sources provided do not contain relevant information for this specific problem.