Question

Решите задачу плиз надо .В ДВУХ БОЧКАХ 725 Л.БЕНЗИНА КОГДА ИЗ ПЕРВОЙ БОЧКИ ОТЛИЛИ 1\3 ЧАСТЬ А ИЗ ВТОРОЙ 2\7 ЧАСТИ БЕНЗИНА ТО В ОБИХ БОЧКАХ БЕНЗИНА СТАЛО ПОРОВНУ .СКОЛЬКО ЛИТРОВ БЕНЗИНА БЫЛО В КАЖДОЙ БОЧКЕ ПЕРВОНОЧАЛЬНО . ЗАДАЧА С ПОМОЩЬЮ УРАВНЕНИЯ

Answer 1

1 - 1/3 =2/3часть осталась в первой бочке
1 - 2/7 = 5/7часть осталась во второй бочке
Пусть х л. в первой бочке
тогда во второй бочке будет (725-х)л.
Остатки в бочках равны

2/3x = 5/7*(725-x)
2/3x=3625/7 - 5/7x
2/3x + 5/7x = 3625/7
14/21x + 15/21x = 3625/7
29/21x=3625/7
x=3625/7 * 21/29
x=375л было в первой бочке
725-375=350л было во второй

Answer 2

Solving the Problem Using Equations

To solve this problem, we can use the information given to set up a system of equations. Let's denote the initial amount of gasoline in the first barrel as x liters and the initial amount of gasoline in the second barrel as y liters.

We are given that when 1/3 of the gasoline is poured out of the first barrel and 2/7 of the gasoline is poured out of the second barrel, the remaining gasoline in both barrels is equal.

Setting Up the Equations

1. The amount of gasoline remaining in the first barrel after pouring out 1/3 is (2/3)x liters. 2. The amount of gasoline remaining in the second barrel after pouring out 2/7 is (5/7)y liters.

According to the problem, these two amounts are equal, so we can set up the following equation:

(2/3)x = (5/7)y

We also know that the total amount of gasoline in both barrels is 725 liters:

x + y = 725

Solving the Equations

We can solve this system of equations to find the initial amounts of gasoline in each barrel.

Let's start by solving the second equation for y:

y = 725 - x

Now, we can substitute this expression for y into the first equation:

(2/3)x = (5/7)(725 - x)

Solving for x:

(2/3)x = 362.5 - (5/7)x

Multiplying through by 21 to clear the fractions:

14x = 7245 - 15x

29x = 7245

x = 250

Substituting x = 250 back into y = 725 - x:

y = 725 - 250 = 475

Answer

So, the initial amount of gasoline in the first barrel was 250 liters, and the initial amount of gasoline in the second barrel was 475 liters.