Question

Решить задачу-по математике за 5 класс на двух заправочных станциях было 117 ц бензина. После того как на одной станции было продано 11,7ц , а на другой 7.5ц. Бензина на первой станции осталось в 2 раза больше чем на второй. какое количество бензина было на каждой станции первоначально

Answer 1

пусть х ц бензина на второй станции ПОСЛЕ продаж, тогда на первой после продаж 2х. Зная что всего было 117 ц бензина составим уравнение:

(х+7,5)+(2х+11,7)=117

далее решаешь уравнение

в итоге получается х=32,5ц

32,5+7,5=40ц бензина на второй станции было первоначально

32,5*2+11,7=76,7ц бензина на первой станции первоначально

Answer 2

Problem Analysis

To solve this problem, we need to find the initial amount of gasoline at each gas station. We are given that the total amount of gasoline at both stations is 117 centners (ц). We also know that after selling 11.7 centners at one station and 7.5 centners at the other, 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 centners. 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 centners.

According to the problem, the total amount of gasoline at both stations is 117 centners. Therefore, we can write the equation:

x + x/2 = 117

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

2x + x = 234

Combining like terms, we get:

3x = 234

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

x = 234/3 = 78

So, the initial amount of gasoline at the first station is 78 centners. 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 78/2 = 39 centners.

Answer

Therefore, the initial amount of gasoline at each station was: - First station: 78 centners - Second station: 39 centners