Question

В двух бочках было 30 вёдер воды.когда из одной бочки взяли 12 вёдер воды,в обеих бочках осталось воды пороану.1)сколько вёдер воды осталось в каждой бочке?2) сколько вёдер воды было первоначально в каждой бочке? помогите решить.

Answer 1

По 9 в каждой осталось. 
В одной 21 в другой 9.

Answer 2

Problem Analysis

We are given that there are two barrels with a total of 30 buckets of water. When 12 buckets of water are taken from one barrel, an equal amount of water is left in both barrels. We need to find the following: 1. How many buckets of water are left in each barrel? 2. How many buckets of water were initially in each barrel?

Solution

Let's solve the problem step by step:

1. How many buckets of water are left in each barrel? - We know that when 12 buckets of water are taken from one barrel, an equal amount of water is left in both barrels. - Let's assume that x buckets of water are left in each barrel. - So, the equation can be written as: x + x + 12 = 30 (since the total number of buckets of water is 30). - Simplifying the equation, we get: 2x + 12 = 30. - Subtracting 12 from both sides, we get: 2x = 18. - Dividing both sides by 2, we get: x = 9. - Therefore, there are 9 buckets of water left in each barrel.

2. How many buckets of water were initially in each barrel? - We know that when 12 buckets of water are taken from one barrel, an equal amount of water is left in both barrels. - Let's assume that y buckets of water were initially in each barrel. - So, the equation can be written as: y + y + 12 = 30 (since the total number of buckets of water is 30). - Simplifying the equation, we get: 2y + 12 = 30. - Subtracting 12 from both sides, we get: 2y = 18. - Dividing both sides by 2, we get: y = 9. - Therefore, there were 9 buckets of water initially in each barrel.

Summary

Based on the given information, there are 9 buckets of water left in each barrel, and there were initially 9 buckets of water in each barrel.