Question

В трех контейнерах привезли 96 ц груза. В первом контейнере привезли в 4 раза меньше груза, чем в третьем, а во втором на 1,8 ц меньше, чем в третьем. Сколько центнеров груза привезли в каждом контейнере?

Answer 1

Пусть в первом контейнере х центнеров груза,тогда в третьем 4х центнеров,
(4х-1,8) центнеров во втором.
Всего
х+4х+(4х-1,8)
что по условию задачи равно 96 ц
Уравнение
х+4х+4х-1,8=96
9х=97,8
х=978/90
х=10 целых 78/90
Странный ответ, проверьте условие

Answer 2

Calculating the Cargo in Each Container

To solve this problem, we can use a system of equations to represent the given information and solve for the amount of cargo in each container.

Let's denote: - The amount of cargo in the first container as x centners. - The amount of cargo in the second container as y centners. - The amount of cargo in the third container as z centners.

We are given the following information: 1. The total amount of cargo in all three containers is 96 centners. 2. The amount of cargo in the first container is 4 times less than in the third container. 3. The amount of cargo in the second container is 1.8 centners less than in the third container.

We can express this information as a system of equations:

1. x + y + z = 96 (total amount of cargo) 2. x = (1/4)z (amount of cargo in the first container is 4 times less than in the third container) 3. y = z - 1.8 (amount of cargo in the second container is 1.8 centners less than in the third container)

Now, let's solve this system of equations to find the amount of cargo in each container.

Solving the System of Equations

Using the given information and the system of equations, we can solve for the amount of cargo in each container.

1. x + y + z = 96 2. x = (1/4)z 3. y = z - 1.8

Substitute the value of x from equation 2 into equation 1: (1/4)z + z - 1.8 + z = 96 (9/4)z - 1.8 = 96 (9/4)z = 97.8 z = 97.8 * (4/9) z = 43.2

Now that we have the value of z, we can find the values of x and y: x = (1/4) * 43.2 x = 10.8 y = 43.2 - 1.8 y = 41.4

Conclusion

Therefore, the amount of cargo in each container is: - Container 1: 10.8 centners - Container 2: 41.4 centners - Container 3: 43.2 centners