Question

Пожалуйста, помогите решить задачу. В детский сад привезли 320 яблок и 240 апельсинов. Найди наибольшее количество одинаковых подарочных пакетов, которые можно из них составить. Сколько яблок и сколько апельсинов будет в этом случае в каждом пакете?

Answer 1

320=2*2*2*2*2*2*5
240=2*2*2*2*3*5
НОД=2*2*2*2*5=80 подароков
В каждом по 4 яблока и 3 апельсина

Answer 2

320=2*2*2*2*2*2*5
240=2*2*2*2*3*5
НОД=2*2*2*2*5=80

Answer 3

Problem Analysis

To solve this problem, we need to find the largest number of identical gift packages that can be made using the given 320 apples and 240 oranges. We also need to determine the number of apples and oranges in each package.

Solution

To find the largest number of identical gift packages, we need to find the greatest common divisor (GCD) of 320 and 240. The GCD represents the largest number that divides both 320 and 240 without leaving a remainder.

To find the GCD, we can use the Euclidean algorithm. The algorithm involves repeatedly dividing the larger number by the smaller number and replacing the larger number with the remainder until the remainder is zero. The last non-zero remainder is the GCD.

Let's calculate the GCD of 320 and 240 using the Euclidean algorithm:

1. Divide 320 by 240: 320 ÷ 240 = 1 remainder 80 2. Divide 240 by 80: 240 ÷ 80 = 3 remainder 0

Since the remainder is zero, the GCD of 320 and 240 is 80.

Therefore, we can make 80 identical gift packages using the given 320 apples and 240 oranges.

To determine the number of apples and oranges in each package, we divide the total number of apples and oranges by the number of packages:

- Number of apples in each package: 320 ÷ 80 = 4 apples - Number of oranges in each package: 240 ÷ 80 = 3 oranges

Therefore, each gift package will contain 4 apples and 3 oranges.

Answer

The largest number of identical gift packages that can be made using the given 320 apples and 240 oranges is 80. Each gift package will contain 4 apples and 3 oranges.

Please let me know if you need any further assistance!