Question

В двух канистрах было 117 центнеров бензина. После того, как из 1 канистры отлили 11,7 центнеров, а из 2 канистры отлили 7,5 центнеров, в 1 канистре стало в 2 раза больше бензина. Сколько бензина было в канистрах первоначально?

Answer 1

Пусть х - на первой станции, (117 - х) - на второй станции, х - 11,7 - осталось на первой станции, тогда (117 - х) - 7,5 - осталось на второй станции
Составим уравнение:
х - 11,7 = 2 * (117 - х) - 7,5
х - 11,7 = 234 - 2х - 15
х + 2х = 234 - 15 + 11,7
3х = 230,7
х = 230,7 : 3
х = 76,9 - на первой станции
117 - 76,9 = 40,1 - на второй станции

Answer 2

Problem Analysis

We are given that there were 117 centners of gasoline in two canisters. After pouring 11.7 centners from the first canister and 7.5 centners from the second canister, the amount of gasoline in the first canister became twice as much as the amount in the second canister. We need to determine the initial amount of gasoline in the canisters.

Solution

Let's assume that the initial amount of gasoline in the first canister is x centners and in the second canister is y centners.

According to the given information: 1. After pouring 11.7 centners from the first canister, the amount of gasoline in the first canister became twice as much as the amount in the second canister. This can be represented as: x - 11.7 = 2(y - 7.5).

2. The total amount of gasoline in both canisters is 117 centners. This can be represented as: x + y = 117.

We can solve these two equations to find the values of x and y.

Solving the Equations

Let's solve the equations using the substitution method.

From equation 2, we can express x in terms of y as: x = 117 - y.

Substituting this value of x in equation 1, we get: (117 - y) - 11.7 = 2(y - 7.5).

Simplifying the equation: 117 - y - 11.7 = 2y - 15.

Combining like terms: 105.3 = 3y - 15.

Adding 15 to both sides: 120.3 = 3y.

Dividing both sides by 3: y = 40.1.

Substituting this value of y in equation 2, we get: x + 40.1 = 117.

Subtracting 40.1 from both sides: x = 76.9.

Answer

The initial amount of gasoline in the first canister was 76.9 centners and in the second canister was 40.1 centners.

Please note that the provided search results did not directly answer the question. However, the solution was derived using mathematical equations and calculations.