Question

Решите задачу по математике 5 класс плиз)) На двух бензозаправочных станциях было 177 ц бензина. После того, как на одной станции было продано 11,7 ц, а на другой - 7,5 ц, бензина на первой станции осталось в 2 раза больше, чем на второй. Какое количество бензина было на каждой станции первоначально?

Answer 1

11,7+7,5=19,2ц бензина продано
177-19,2=157,8ц бензина осталось
157,8:3=52,6ц бензина осталось на второй станции
52,6*2=105,2ц бензина осталось на первой станции
105,2+11,7=116,9ц бензина было на первой бензостанции первоначально
52,6+7,5=60,1ц бензина было на второй бензостанции первоначально

Answer 2

Problem Analysis

To solve this problem, we need to find the initial quantities of gasoline at each gas station. We are given that the total amount of gasoline at both stations is 177 centners (ц). After 11.7 ц of gasoline is sold at one station and 7.5 ц is sold at the other station, the amount of gasoline remaining at the first station is twice the amount remaining at the second station.

Solution

Let's assume that the initial amount of gasoline at the first station is x ц. Since the amount of gasoline remaining at the first station is twice the amount remaining at the second station, the amount of gasoline remaining at the second station is x/2 ц.

According to the problem, the total amount of gasoline at 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, we get:

3x = 354

Now, we can solve for x by dividing both sides by 3:

x = 354/3 = 118

So, the initial amount of gasoline at the first station is 118 ц. Since the amount of gasoline remaining at the first station is twice the amount remaining at the second station, the initial amount of gasoline at the second station is 118/2 = 59 ц.

Answer

The initial amount of gasoline at each gas station was: - First station: 118 ц - Second station: 59 ц