Question

. За першу поїздку автомобіль витратив 25% бензину, що був у баку, за другу — на 40% менше, ніж за першу. Після цього в баку залишилося бензину на 8 л більше, ніж було витрачено за обидві поїздки. Скільки літрів бензину було в баку спочатку?

Answer 1

Находим, сколько он потратил за вторую поездку:

25% - 25% × 40% = 15%

Составим уравнение:

15% + 25% + 8 = 60%

8 = 20%

=> 8 × 5 = 40 л

Ответ: 40 л

Answer 2

Problem Analysis

We are given information about the fuel consumption of a car during two trips. The car used 25% of the fuel in the first trip and 40% less fuel in the second trip compared to the first trip. After both trips, there was 8 liters more fuel left in the tank than was consumed during both trips. We need to determine the initial amount of fuel in the tank.

Solution

Let's assume the initial amount of fuel in the tank is x liters.

During the first trip, the car consumed 25% of the fuel, which is 0.25x liters.

During the second trip, the car consumed 40% less fuel than the first trip. This means it consumed 0.6 * 0.25x liters.

After both trips, there was 8 liters more fuel left in the tank than was consumed during both trips. This can be expressed as:

x - (0.25x + 0.6 * 0.25x) = 8

Simplifying the equation:

x - 0.25x - 0.15x = 8

0.6x = 8

Dividing both sides of the equation by 0.6:

x = 8 / 0.6

x = 13.33 liters

Therefore, the initial amount of fuel in the tank was approximately 13.33 liters.

[[1]]