Question

Винни-Пух и Пяточок съели бочонок мёда и банку сгущёнки, начав и закончив од- новременно. Сначала Пяточок ел сгущёнку, а Винни-Пух – мёд. Затем, в какой-то момент они поменялись: Пяточок стал есть мёд, а Винни-Пух — сгущенку. Винни- Пух и мёд и сгущёнку ел в три раза быстрее Пяточка. Во сколько раз больше мёда съел Винни-Пух, если сгущёнки они съели поровну ​

Answer 1

х - количество съеденной сгущенки

до того, как поменялись

Пяточок - х сгущенки, тогда Винни-Пух - 3х меда (тк ел в 3 раза быстрее)

после того, как поменялись

Винни-Пух - х сгущенки, тогда Пяточок - х/3 меда(тк ел в 3 раза медленнее)

Чтобы найти разницу во сколько раз больше меда съел Винни-Пух, нужно разделить количество съеденного Винни-Пухом на количество съеденного Пяточком

3х:х/3=9

Ответ: в 9 раз

Answer 2

Problem Analysis

The problem involves Winnie-the-Pooh and Piglet consuming a barrel of honey and a jar of condensed milk simultaneously. Initially, Piglet eats the condensed milk while Winnie-the-Pooh consumes the honey. At some point, they switch, with Piglet eating the honey and Winnie-the-Pooh consuming the condensed milk. It's also mentioned that Winnie-the-Pooh eats both the honey and the condensed milk three times faster than Piglet.

Solution

To solve this problem, we can use a system of equations to represent the consumption rates of Winnie-the-Pooh and Piglet for honey and condensed milk.

Let's assume: - Winnie-the-Pooh's rate of consuming honey per unit time = W - Winnie-the-Pooh's rate of consuming condensed milk per unit time = 3W (three times faster than Piglet) - Piglet's rate of consuming honey per unit time = P - Piglet's rate of consuming condensed milk per unit time = P (since they consumed the same amount of condensed milk)

Given that they consumed the same amount of condensed milk, we can set up the following equation: P * t = 3W * t, where t represents the time taken.

Since Piglet initially ate the condensed milk and Winnie-the-Pooh ate the honey, and then they switched, we can also set up the equation: (P * t) + (3W * t) = 1, representing the total amount consumed.

Solving these equations will allow us to find the ratio of honey consumed by Winnie-the-Pooh to the total amount of honey consumed.

Let's calculate the solution.