Question

Решите задачу : карандаши в количестве 260 штук разместили в две коробки в отношении 5:7. Сколько карандашей в большой коробке?

Answer 1

Всего 12 частей , в большой коробке будет 7\12 всех карандашей , поэтому 260*7\12=примерно 152 ( числа не очень)

Answer 2

Problem Analysis

We are given that there are 260 pencils and they are divided into two boxes in a ratio of 5:7. We need to determine the number of pencils in the larger box.

Solution

To solve this problem, we can set up a proportion based on the given ratio and the total number of pencils.

Let's assume that the number of pencils in the larger box is x. Then, the number of pencils in the smaller box would be (260 - x).

We can set up the following proportion:

Number of pencils in larger box / Number of pencils in smaller box = Ratio

x / (260 - x) = 5 / 7

To solve for x, we can cross-multiply and solve the resulting equation.

Calculation

Cross-multiplying the equation gives us:

7x = 5(260 - x)

Simplifying further:

7x = 1300 - 5x

Combining like terms:

7x + 5x = 1300

12x = 1300

Dividing both sides by 12:

x = 1300 / 12

x ≈ 108.33

Since we cannot have a fraction of a pencil, we can round the value of x to the nearest whole number.

Therefore, the number of pencils in the larger box is approximately 108.

Answer

The number of pencils in the larger box is approximately 108.