Question

условие задачи: Зимой старики и дети племени изготавливают наконечники для стрел. Старейшина племент меняет их на шеуры животных, чтобы сшить из них одежду. За оленьи шкуры он отдал 2780 наконечников. Это на 1250 наконечников больше, чем за лисьи шккры, и на 770 меньше, чем за волчьи шкуры. Сколько всего наконечников обменял старейшина племени на шкуры животных?

Answer 1

Problem Analysis

The problem states that during the winter, the elders and children of a tribe make arrowheads. The tribal elder exchanges these arrowheads for animal skins to make clothes. The problem provides information about the number of arrowheads exchanged for deer, fox, and wolf skins. We need to determine the total number of arrowheads exchanged by the tribal elder for animal skins.

Solution

Let's break down the information provided in the problem:

- The tribal elder exchanged 2780 arrowheads for deer skins. - The tribal elder exchanged 1250 fewer arrowheads for fox skins compared to deer skins. - The tribal elder exchanged 770 fewer arrowheads for wolf skins compared to deer skins.

To find the total number of arrowheads exchanged for animal skins, we need to calculate the sum of arrowheads exchanged for each type of skin.

Let's denote: - The number of arrowheads exchanged for deer skins as D. - The number of arrowheads exchanged for fox skins as F. - The number of arrowheads exchanged for wolf skins as W.

From the given information, we have the following equations:

1. D = 2780 2. F = D - 1250 3. W = D - 770

To find the total number of arrowheads exchanged, we need to calculate D + F + W.

Let's substitute the values of D, F, and W into the equation:

Total arrowheads exchanged = D + F + W = 2780 + (D - 1250) + (D - 770)

Simplifying the equation:

Total arrowheads exchanged = 2780 + D - 1250 + D - 770 Total arrowheads exchanged = 2D - 770

Now, let's substitute the value of D into the equation:

Total arrowheads exchanged = 2(2780) - 770

Calculating the expression:

Total arrowheads exchanged = 5560 - 770 Total arrowheads exchanged = 4790

Therefore, the tribal elder exchanged a total of 4790 arrowheads for animal skins.

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