Question

Реши задачу разными способами (записывай решение выражением). В зоомагазине 12 белых и 36 корич­невых хомяка. Их рассадили по 6 хо­мяков в клетку. Сколько клеток для этого потребовалось?

Answer 1

1 способ:

12 : 6 + 36 : 6=2+6=8 (клеток)

2 способ:

(12+36) : 6=48 : 6=8 (клеток)

Answer 2

12 + 36 = 48 ( х ) - всего
 48/6 = 8 ( к ) - для хомяков
Ответ: 8 клеток 

Answer 3

Problem Analysis

To solve this problem, we need to determine the number of cages required to house 12 white hamsters and 36 brown hamsters, with 6 hamsters per cage.

Solution 1: Division

We can solve this problem by dividing the total number of hamsters by the number of hamsters per cage.

Let's calculate the number of cages required for the white hamsters first: - Number of white hamsters = 12 - Number of hamsters per cage = 6

To find the number of cages required for the white hamsters, we divide the total number of white hamsters by the number of hamsters per cage: - Number of cages for white hamsters = 12 / 6 = 2

Now, let's calculate the number of cages required for the brown hamsters: - Number of brown hamsters = 36 - Number of hamsters per cage = 6

To find the number of cages required for the brown hamsters, we divide the total number of brown hamsters by the number of hamsters per cage: - Number of cages for brown hamsters = 36 / 6 = 6

Finally, to determine the total number of cages required, we add the number of cages for white hamsters and the number of cages for brown hamsters: - Total number of cages required = Number of cages for white hamsters + Number of cages for brown hamsters = 2 + 6 = 8

Therefore, 8 cages are required to house 12 white hamsters and 36 brown hamsters, with 6 hamsters per cage.

Solution 2: Multiplication

Alternatively, we can solve this problem by multiplying the number of hamsters by the reciprocal of the number of hamsters per cage.

Let's calculate the number of cages required for the white hamsters using multiplication: - Number of white hamsters = 12 - Number of hamsters per cage = 6

To find the number of cages required for the white hamsters, we multiply the number of white hamsters by the reciprocal of the number of hamsters per cage: - Number of cages for white hamsters = 12 * (1/6) = 2

Now, let's calculate the number of cages required for the brown hamsters using multiplication: - Number of brown hamsters = 36 - Number of hamsters per cage = 6

To find the number of cages required for the brown hamsters, we multiply the number of brown hamsters by the reciprocal of the number of hamsters per cage: - Number of cages for brown hamsters = 36 * (1/6) = 6

Finally, to determine the total number of cages required, we add the number of cages for white hamsters and the number of cages for brown hamsters: - Total number of cages required = Number of cages for white hamsters + Number of cages for brown hamsters = 2 + 6 = 8

Therefore, 8 cages are required to house 12 white hamsters and 36 brown hamsters, with 6 hamsters per cage.

Solution 3: Integer Division

Another way to solve this problem is by using integer division.

Let's calculate the number of cages required for the white hamsters using integer division: - Number of white hamsters = 12 - Number of hamsters per cage = 6

To find the number of cages required for the white hamsters, we perform integer division by dividing the number of white hamsters by the number of hamsters per cage: - Number of cages for white hamsters = 12 // 6 = 2

Now, let's calculate the number of cages required for the brown hamsters using integer division: - Number of brown hamsters = 36 - Number of hamsters per cage = 6

To find the number of cages required for the brown hamsters, we perform integer division by dividing the number of brown hamsters by the number of hamsters per cage: - Number of cages for brown hamsters = 36 // 6 = 6

Finally, to determine the total number of cages required, we add the number of cages for white hamsters and the number of cages for brown hamsters: - Total number of cages required = Number of cages for white hamsters + Number of cages for brown hamsters = 2 + 6 = 8

Therefore, 8 cages are required to house 12 white hamsters and 36 brown hamsters, with 6 hamsters per cage.

Note: All three solutions yield the same result, which is 8 cages required to house the given number of hamsters.