Question

Винни пятачок и кролик набраи вместе 80 шишек. У Винни в 4 раза меньше шишек, чем у Пяточка, и в 5 раз меньше чем у Кролика. Сколько шишек у кролика? Запеши решение

Answer 1

1) 80:4= 20 (у пяточка)
2) 20:5= 4 (у кролика)
Ответ: у кролика 4 шишки






(проверь)

Answer 2

Problem Analysis

We are given that Winnie the Pooh, Piglet, and Rabbit collected a total of 80 pinecones. It is also stated that Winnie has 4 times fewer pinecones than Piglet and 5 times fewer pinecones than Rabbit. We need to determine the number of pinecones Rabbit has.

Solution

Let's assume the number of pinecones Rabbit has is represented by the variable R.

According to the problem statement, we can write the following equations:

1. Winnie has 4 times fewer pinecones than Piglet: W = P/4. 2. Winnie has 5 times fewer pinecones than Rabbit: W = R/5. 3. The total number of pinecones collected is 80: W + P + R = 80.

We can solve this system of equations to find the value of R.

Solving the System of Equations

Substituting the value of W from equation 1 into equation 3, we get:

(P/4) + P + R = 80

Multiplying through by 4 to eliminate the fraction, we have:

P + 4P + 4R = 320

Simplifying, we get:

5P + 4R = 320 (Equation 4)

Substituting the value of W from equation 2 into equation 3, we get:

(R/5) + P + R = 80

Multiplying through by 5 to eliminate the fraction, we have:

R + 5P + 5R = 400

Simplifying, we get:

5P + 6R = 400 (Equation 5)

Now we have a system of two equations with two variables (P and R). We can solve this system to find the value of R.

To solve the system, we can multiply equation 4 by 6 and equation 5 by -4, and then add the two equations together:

(6)(5P + 4R) + (-4)(5P + 6R) = (6)(320) + (-4)(400)

Simplifying, we get:

30P + 24R - 20P - 24R = 1920 - 1600

Combining like terms, we have:

10P = 320

Dividing both sides by 10, we get:

P = 32

Substituting the value of P back into equation 4, we can solve for R:

5(32) + 4R = 320

Simplifying, we get:

160 + 4R = 320

Subtracting 160 from both sides, we have:

4R = 160

Dividing both sides by 4, we get:

R = 40

Therefore, Rabbit has 40 pinecones.

Answer

Rabbit has 40 pinecones.

Verification

Let's verify our answer using the given information.

According to the problem statement, Winnie has 4 times fewer pinecones than Piglet. If Piglet has 32 pinecones, then Winnie has 4 times fewer, which is 8 pinecones.

According to the problem statement, Winnie has 5 times fewer pinecones than Rabbit. If Rabbit has 40 pinecones, then Winnie has 5 times fewer, which is 8 pinecones.

So, the total number of pinecones is 32 + 8 + 40 = 80, which matches the given information.

Therefore, our answer is verified.