Question

Слоник, Мартышка, Жираф и Удав показывали фокусы с исчезновением шара под цилиндром. У каждого из них было по 4 шара. Шары были белые и черные. Сколько всего белых шаров спрятано под цилиндрами, если известно, что у Жирафа и Мартышки одинаковое количество черных шаров, у Слоника на 1 черный шар больше, чем у Мартышки, а у Удава столько же белых шаров, сколько у Слоника черных?

Answer 1

У меня 4 получается
У Слоника 3 черных шара + 1 белый, в том числе 1 белый под цилиндром
У Мартышки 2 черных шара + 2 белый, в том числе 1 белый под цилиндром
У Жирафа 2 черных шара + 2 белый, в том числе 1 белый под цилиндром
У Удава 1 черный шар + 3 белых, в том числе 1 белый под цилиндром
Всего спрятано под цилиндрами 4 белых шара

Answer 2

Problem Analysis

We are given that an elephant, a monkey, a giraffe, and a snake are performing magic tricks involving the disappearance of balls under cylinders. Each of them has 4 balls, which can be either white or black. We need to determine the total number of white balls hidden under the cylinders, given the following information: - The giraffe and the monkey have the same number of black balls. - The elephant has 1 more black ball than the monkey. - The snake has the same number of white balls as the elephant has black balls.

Solution

To solve this problem, let's assign variables to represent the number of white and black balls for each animal: - Let's denote the number of white balls hidden under the cylinders by W. - Let's denote the number of black balls hidden under the cylinders by B.

Based on the given information, we can write the following equations: 1. The giraffe and the monkey have the same number of black balls: B(giraffe) = B(monkey). 2. The elephant has 1 more black ball than the monkey: B(elephant) = B(monkey) + 1. 3. The snake has the same number of white balls as the elephant has black balls: W(snake) = B(elephant).

To find the total number of white balls hidden under the cylinders, we need to sum up the white balls for each animal: Total white balls = W(giraffe) + W(monkey) + W(elephant) + W(snake).

Let's solve the equations to find the values of the variables.

Solution Steps

1. Let's assume the number of black balls hidden under the cylinders for the monkey is x. 2. Using equation 1, we know that the giraffe also has x black balls. 3. Using equation 2, we know that the elephant has x + 1 black balls. 4. Using equation 3, we know that the snake has x + 1 white balls. 5. Since each animal has 4 balls, we can write the following equations: - W(giraffe) + x = 4 (equation 4) - W(monkey) + x = 4 (equation 5) - W(elephant) + (x + 1) = 4 (equation 6) - W(snake) + (x + 1) = 4 (equation 7) 6. Solving equations 4 and 5, we find that W(giraffe) = W(monkey) = 4 - x. 7. Substituting the values from step 6 into equations 6 and 7, we get: - W(elephant) + (x + 1) = 4 - W(snake) + (x + 1) = 4 8. Simplifying equations 6 and 7, we find that W(elephant) = 3 - x and W(snake) = 3 - x. 9. Finally, substituting the values from steps 6 and 8 into the equation for the total number of white balls, we get: - Total white balls = (4 - x) + (4 - x) + (3 - x) + (3 - x) - Simplifying further, we find that Total white balls = 14 - 4x.

Therefore, the total number of white balls hidden under the cylinders is 14 - 4x.

Answer

The total number of white balls hidden under the cylinders is 14 - 4x.

Please note that we need to know the value of x (the number of black balls hidden under the cylinders for the monkey) to determine the exact number of white balls.