Question

На двух станциях было 177 ц бензина. После того как с одной станции продали 11,7 ц , а со второй 7,5 ц , бензина на первой станции осталось в 2 раза больше, чем на второй. Сколько ц бензина было на каждой станции первоначально?

Answer 1

1) 11,7 + 7,5 = 19,2 = (ц) - бензина продали на двух станциях.
2) 177 - 19,2 = 157,8 (ц) - бензина осталось на двух станциях.
Так как на первой станции осталось бензина в 2 раза больше, чем на второй, то оставшееся количество состоит из трёх равных частей, две из которых на первой станции и одна - на второй станции.
3) 157,8 : 3 = 52,6 (ц) - бензина осталось на второй станции.
4) 52,6 · 2 = 105,2 (ц) - бензина осталось на первой станции.
5) 105,2 + 11,7 = 116,9 (ц) - бензина было изначально на первой станции.
6) 52,6 + 7,5 = 60,1 (ц) - бензина было на второй станции.
Ответ: 116,9 ц и 60,1 ц.

Answer 2

Problem Analysis

We are given that there were 177 centners (ц) of gasoline on two stations. After selling 11.7 ц from one station and 7.5 ц from the other, the amount of gasoline on the first station was twice as much as on the second station. We need to determine the initial amount of gasoline on each station.

Solution

Let's assume that the initial amount of gasoline on the first station is x ц. Since the amount of gasoline on the first station after the sale is twice as much as on the second station, the amount of gasoline on the second station is x/2 ц.

According to the given information, the total amount of gasoline on both stations is 177 ц. Therefore, we can write the equation:

x + x/2 = 177

To solve this equation, we can multiply both sides by 2 to eliminate the fraction:

2x + x = 354

Combining like terms:

3x = 354

Dividing both sides by 3:

x = 118

Therefore, the initial amount of gasoline on the first station was 118 ц, and the initial amount of gasoline on the second station was 118/2 = 59 ц.

Answer

The initial amount of gasoline on the first station was 118 ц, and the initial amount of gasoline on the second station was 59 ц.