Question

В двух цистернах было 30 т бензина. После того как из каждой цистерны продали по 6 т, в первой цистерне оказалось в два раза больше бензина, чем во второй. Сколько тонн бензина было в каждой цистерне первоначально

Answer 1

X - бензин в 1-й цистерне первоначально
(30 - х) - бензин во 2-й цистерне первоначально
(х - 6) - бензин в 1-й цистерне оставшийся
(30- х - 6) = (24 - х) - бензин во 2-й цистерне оставшийся
х - 6 = 2(24  - х)
х - 6 = 48  - 2х
3х = 54
х = 18(т) бензин в 1-й цистерне первоначально
30-18 = 12(т) бензин во 2-й цистерне первоначально

Answer 2

Всего= 30 т
Вылили из 2 бочек= 12т(6+6)
Осталось бензина в 2 бочках=30 - 12= 18 т
Но в 1 бочке в 2 раза больше чем во второй, составляем уравнение x+2x=18
Ответ во 2 бочке 12 , а в 1 было 18

Answer 3

Calculating the Initial Amount of Gasoline in Each Tank

To solve this problem, we can use a system of equations. Let's denote the initial amount of gasoline in the first tank as x tons and the initial amount of gasoline in the second tank as y tons.

We are given the following information: 1. The total amount of gasoline in both tanks is 30 tons. 2. After selling 6 tons from each tank, the amount of gasoline in the first tank is twice the amount in the second tank.

We can represent this information in the form of equations:

Equation 1: x + y = 30 (total amount of gasoline in both tanks is 30 tons) Equation 2: (x - 6) = 2(y - 6) (after selling 6 tons from each tank, the amount of gasoline in the first tank is twice the amount in the second tank)

Let's solve this system of equations to find the initial amount of gasoline in each tank.

Solving the System of Equations

Substitute the value of y from Equation 1 into Equation 2:

(x - 6) = 2(30 - x - 6)

Simplify the equation:

(x - 6) = 2(24 - x)

Expand and solve for x:

x - 6 = 48 - 2x

3x = 54

x = 18

Now that we have found the value of x, we can substitute it back into Equation 1 to find the value of y:

18 + y = 30

y = 12

Conclusion

Therefore, the initial amount of gasoline in the first tank was 18 tons, and the initial amount of gasoline in the second tank was 12 tons.