Question

В первом ящике было в 7 раз больше гвоздей , чем во втором.Когда из первого ящика взяли 38кг гвоздей,а из второго 14 кг,то во втором осталось на 78 кг меньше, чем в первом. Сколько гвоздей было первоначально в каждом ящике? Всё решения пж :)

Answer 1

Problem Analysis

We are given two boxes, and the first box initially contains 7 times more nails than the second box. After taking 38 kg of nails from the first box and 14 kg of nails from the second box, the second box is left with 78 kg less than the first box. We need to find the initial number of nails in each box.

Solution

Let's assume that the second box initially contains x nails. Since the first box initially contains 7 times more nails than the second box, the first box contains 7x nails.

After taking 38 kg of nails from the first box, the first box is left with (7x - 38) kg of nails. Similarly, after taking 14 kg of nails from the second box, the second box is left with (x - 14) kg of nails.

According to the given information, the second box is left with 78 kg less than the first box. Therefore, we can set up the following equation:

(7x - 38) - (x - 14) = 78

Simplifying the equation:

6x - 24 = 78

Adding 24 to both sides:

6x = 102

Dividing both sides by 6:

x = 17

So, the second box initially contains 17 nails. Since the first box contains 7 times more nails than the second box, the first box initially contains 7 * 17 = 119 nails.

Therefore, there were initially 119 nails in the first box and 17 nails in the second box.

Answer

There were initially 119 nails in the first box and 17 nails in the second box.