Question

Из цистерны отлили 0,3 находящегося в ней бензина. Затем отлили 3/5 оставшегося бензина. После этого в цистерне осталось 5,88 т бензина. Сколько тонн бензина было в цистерне первоначально?

Answer 1

Принимаем весь бензин за 1,тогда
1)1-0,3=0,7 осталось после того как отлили первый раз
3/5=0,6
2)0,7*0,6=0,42 отлили во второй раз
3)0,7-0,42=0.28 осталось после того как отлили весь бензин
4)5,88:0,28=21т было
===============

Answer 2

Task: Calculating the initial amount of gasoline in the tank

To calculate the initial amount of gasoline in the tank, we can follow these steps:

1. Subtract the amount of gasoline poured out from the total amount of gasoline remaining in the tank. 2. Multiply the result by the reciprocal of the fraction poured out to find the initial amount of gasoline.

Let's calculate it step by step.

Step 1: Subtract the amount of gasoline poured out from the total amount remaining in the tank: - The amount of gasoline poured out initially is 0.3 tons. - The amount of gasoline poured out later is 3/5 of the remaining gasoline.

To calculate the remaining gasoline in the tank after the second pouring, we can use the equation: Remaining gasoline = Total remaining gasoline - Amount poured out

Let's denote the total remaining gasoline as "x" tons. After the second pouring, the remaining gasoline is 5.88 tons. So we have the equation:

x - (3/5)x = 5.88

Simplifying the equation, we get:

(2/5)x = 5.88

Step 2: Multiply the result by the reciprocal of the fraction poured out: To find the initial amount of gasoline, we need to divide the remaining gasoline by the fraction poured out initially. The fraction poured out initially is 0.3.

Initial amount of gasoline = Remaining gasoline / Fraction poured out initially

Let's substitute the value of the remaining gasoline (x) into the equation:

Initial amount of gasoline = x / 0.3

Now, let's solve the equation to find the initial amount of gasoline.

Calculation:

Step 1: (2/5)x = 5.88

To solve for x, we can multiply both sides of the equation by 5/2:

x = (5.88 * 5) / 2

x = 14.7 tons

Step 2: Initial amount of gasoline = x / 0.3

Initial amount of gasoline = 14.7 / 0.3

Initial amount of gasoline = 49 tons

Therefore, the initial amount of gasoline in the tank was 49 tons.