Question

На одном элеваторе было 210 т зерна, на другом 240 т. После того, как со второго увезли в 2 раза больше тонн зерна, чем с первого, на первом осталось на 15 тонн зерна больше, чем на втором. Сколько тонн зерна вывезли с каждого элеватора?

Answer 1

Problem Analysis

We are given two elevators, one with 210 tons of grain and the other with 240 tons of grain. After twice as many tons of grain are taken from the second elevator compared to the first, the first elevator is left with 15 tons more grain than the second elevator. We need to determine how many tons of grain were taken from each elevator.

Solution

Let's assume that x tons of grain were taken from the first elevator and 2x tons of grain were taken from the second elevator.

According to the given information, the first elevator is left with 15 tons more grain than the second elevator after the grain is taken. This can be expressed as:

210 - x = (240 - 2x) + 15

Simplifying the equation, we get:

210 - x = 255 - 2x

Rearranging the equation, we get:

x = 45

Therefore, 45 tons of grain were taken from the first elevator and 2 * 45 = 90 tons of grain were taken from the second elevator.

Answer

45 tons of grain were taken from the first elevator and 90 tons of grain were taken from the second elevator.