Question

Помогите решить задачу: дети принесли из леса 280 грибов, 1/4 этого кол-ва грибов были белые, 1/5- подосиновик, 1/8 - грузди , а остальные -маслята. Сколько маслят собрали дети?

Answer 1

Problem Analysis

To solve this problem, we need to determine the number of mushrooms the children collected. We are given that the children collected a total of 280 mushrooms, with different proportions of white mushrooms, boletes, and chanterelles. We need to find the number of chanterelles (maslyata) the children collected.

Solution

Let's break down the information given in the problem statement:

- The children collected a total of 280 mushrooms. - 1/4 of the mushrooms were white. - 1/5 of the mushrooms were boletes (podosinovik). - 1/8 of the mushrooms were chanterelles (maslyata). - The remaining mushrooms were chanterelles.

To find the number of chanterelles, we need to subtract the number of white mushrooms and boletes from the total number of mushrooms and then divide by 8.

Let's calculate the number of chanterelles step by step:

1. Calculate the number of white mushrooms: 1/4 of 280 mushrooms. - Number of white mushrooms = (1/4) * 280 = 70 mushrooms.

2. Calculate the number of boletes: 1/5 of 280 mushrooms. - Number of boletes = (1/5) * 280 = 56 mushrooms.

3. Calculate the number of chanterelles: Subtract the number of white mushrooms and boletes from the total number of mushrooms, and then divide by 8. - Number of chanterelles = (280 - 70 - 56) / 8 = 154 / 8 = 19.25 mushrooms.

Since we cannot have a fraction of a mushroom, we need to round down the number of chanterelles to the nearest whole number.

Therefore, the children collected 19 chanterelles (maslyata).

Answer

The children collected a total of 280 mushrooms. Out of these, 70 mushrooms were white, 56 mushrooms were boletes, and the remaining mushrooms were chanterelles. The number of chanterelles collected by the children is 19.

Note: The number of chanterelles is rounded down to the nearest whole number since we cannot have a fraction of a mushroom.