Question

В одном контейне было 200кг. яблок, а во втором-120кг. Из первого брали ежедневно по 30кг.,а из второго- по 25кг.Через сколько дней в первом контейнере останется в 4раза больше яблок ,чем во втором?

Answer 1

Пусть х дней брали яблоки из контейнера, тогда из 1-ого контейнера взяли 30х яблок, а из 2-ого 25х яблок. (120-25х)<(200-30х) в 4 раза. Составляем уравнение:4(120-25х)=200-30х480-100х=200-30х-100х+30х=200-480-70х=-280х=280/70х=4.

Answer 2

Calculation of Remaining Apples in the First Container

To determine how many days it will take for the first container to have four times as many apples as the second container, we need to calculate the number of apples remaining in each container after a certain number of days.

Let's break down the information given:

- The first container initially had 200 kg of apples. - The second container initially had 120 kg of apples. - From the first container, 30 kg of apples are taken daily. - From the second container, 25 kg of apples are taken daily.

To find the number of days it will take for the first container to have four times as many apples as the second container, we can set up an equation.

Let's assume that after "x" days, the first container will have four times as many apples as the second container.

The equation can be written as:

200 - 30x = 4(120 - 25x)

Now, let's solve this equation to find the value of "x".

200 - 30x = 480 - 100x

70x = 280

x = 4

Therefore, it will take 4 days for the first container to have four times as many apples as the second container.

Verification of the Answer

To verify this answer, let's calculate the number of apples in each container after 4 days.

- In the first container: 200 - 30 * 4 = 200 - 120 = 80 kg of apples. - In the second container: 120 - 25 * 4 = 120 - 100 = 20 kg of apples.

The first container has four times as many apples as the second container: 80 kg / 20 kg = 4.

Conclusion

After 4 days, the first container will have four times as many apples as the second container. The first container will have 80 kg of apples, while the second container will have 20 kg of apples.