Question

Нескольким группам детского сада подарили одинаковые наборы подарков всего 60 машинок 80 кукол 48 конструкторов . сколько групп получили подарки . Сколько машинок кукол конструкторов в каждом наборе

Answer 1

Может быть два решения в 2 группы по 94 подарка или 4 группы по 47 подарков

Answer 2

Number of Groups and Contents of Each Gift Set

To determine the number of groups that received the gifts and the contents of each gift set, we need to analyze the given information.

According to the question, several groups in a kindergarten received identical gift sets. The total number of gifts in these sets is as follows:

- 60 toy cars - 80 dolls - 48 building blocks (constructors)

To find the number of groups that received the gifts, we need to determine the common factors of these three numbers: 60, 80, and 48.

The common factors of 60, 80, and 48 are 1, 2, 4, and 8. However, we need to find the greatest common factor (GCF) to determine the maximum number of groups that can be formed.

To find the GCF, we can use the prime factorization method. Let's break down each number into its prime factors:

- 60 = 2^2 * 3 * 5 - 80 = 2^4 * 5 - 48 = 2^4 * 3

Now, let's find the common prime factors and their minimum exponent:

- 2^2 * 3 * 5

The GCF is the product of these common prime factors, which is 2^2 * 3 * 5 = 60.

Therefore, the maximum number of groups that can be formed is 60.

Now, let's calculate the number of each item in each gift set:

- Number of toy cars in each gift set: 60 / 60 = 1 - Number of dolls in each gift set: 80 / 60 = 4/3 (approximately 1.33) - Number of building blocks (constructors) in each gift set: 48 / 60 = 4/5 (approximately 0.8)

Since we cannot have fractional numbers of dolls and building blocks in each gift set, we need to adjust the distribution. We can either round down or round up the numbers.

If we round down, each gift set will contain: - 1 toy car - 1 doll - 0 building blocks

If we round up, each gift set will contain: - 1 toy car - 2 dolls - 1 building block

Therefore, each gift set will contain either 1 toy car, 1 doll, and 0 building blocks, or 1 toy car, 2 dolls, and 1 building block.

To summarize: - The number of groups that received the gifts is 60. - Each gift set contains either 1 toy car, 1 doll, and 0 building blocks, or 1 toy car, 2 dolls, and 1 building block.

Please note that the rounding method used may vary depending on the specific guidelines or preferences of the kindergarten.