Question

У першому ящику в 3 рази більше цвяхів, ніж у другому. Після того як з першого ящика взяли 17 кг цвяхів, а з другого — 5 кг, у першому ящику стало у 2 рази більше цвяхів, ніж у другому. Скільки кілограмів цвяхів було в кожному ящику спочатку? МОЖНО УМОВУ(УСЛОВИЕ) ЗАДАЧИ

Answer 1

Ответ:

21; 7

Пошаговое объяснение:

3x - начальное количество гвоздей в первом ящике, кг.

x - начальное количество гвоздей во втором ящике, кг.

3x-17=2(x-5)

3x-17=2x-10

3x-2x=-10+17

x=7 кг - начальное количество гвоздей во втором ящике.

3·7=21 кг - начальное количество гвоздей в первом ящике.

Answer 2

Problem Statement

У першому ящику в 3 рази більше цвяхів, ніж у другому. Після того, як з першого ящика взяли 17 кг цвяхів, а з другого — 5 кг, у першому ящику стало у 2 рази більше цвяхів, ніж у другому. Скільки кілограмів цвяхів було в кожному ящику спочатку?

Solution

Let's assume that the number of nails in the second box is x. According to the problem, the number of nails in the first box is 3 times more than in the second box, so it would be 3x.

After taking 17 kg of nails from the first box and 5 kg from the second box, the number of nails in the first box became twice the number of nails in the second box.

To solve this problem, we need to set up an equation based on the given information and solve for the unknown variable.

Let's calculate the number of nails in the first box after taking 17 kg: - The weight of nails in the first box is reduced by 17 kg. - The number of nails in the first box is doubled.

Therefore, the equation for the first box would be: 2(3x - 17) = 3x.

Now, let's calculate the number of nails in the second box after taking 5 kg: - The weight of nails in the second box is reduced by 5 kg.

Therefore, the equation for the second box would be: x - 5.

Now, we can solve these equations to find the values of x and 3x.

Let's solve the equations:

2(3x - 17) = 3x 6x - 34 = 3x 6x - 3x = 34 3x = 34 x = 34 / 3 x = 11.33 (approx)

So, the number of nails in the second box initially was approximately 11.33.

Now, let's calculate the number of nails in the first box:

3x = 3 * 11.33 3x = 34

Therefore, the number of nails in the first box initially was approximately 34.

To find the weight of nails in each box, we need to multiply the number of nails by the weight per nail. However, the weight per nail is not given in the problem statement, so we cannot determine the exact weight of nails in each box.

In conclusion, based on the given information, there were approximately 34 kg of nails in the first box initially and approximately 11.33 kg of nails in the second box initially.