Question

10. Два торговца привезли на рынок вместе 1000 яиц. Продав яйца по разной цене, оба выручили одинаковые суммы. Если бы первый продал столько яиц. сколько второй, то он бы выручил 720 зедов; если бы второй продал столько янц. сколько первый, то он выручил бы 320 зедов (зел -условная денежная единица). По какой цене за десяток яиц продавал яйца первый торговец? А. 8 зедов. Б. 9 зедов. В. 10

Answer 1

Ответ:

A = 8

Объяснение:

...

Answer 2

Problem Analysis

Two traders brought a total of 1000 eggs to the market and sold them at different prices. Both traders earned the same amount of money. If the first trader sold as many eggs as the second trader, he would have earned 720 zeds. If the second trader sold as many eggs as the first trader, he would have earned 320 zeds. We need to determine the price at which the first trader sold a dozen eggs.

Solution

Let's assume that the first trader sold x dozens of eggs. Since there are 1000 eggs in total, the second trader must have sold (1000 - 12x) dozens of eggs.

According to the given information, if the first trader sold as many eggs as the second trader, he would have earned 720 zeds. This can be expressed as:

Price per dozen for the first trader * x = 720 zeds Similarly, if the second trader sold as many eggs as the first trader, he would have earned 320 zeds. This can be expressed as:

Price per dozen for the second trader * (1000 - 12x) = 320 zeds We can solve these two equations to find the price per dozen for the first trader.

Solving the Equations

Let's solve the equations and to find the price per dozen for the first trader.

From equation Price per dozen for the first trader * x = 720 zeds

From equation Price per dozen for the second trader * (1000 - 12x) = 320 zeds

Simplifying equation Price per dozen for the second trader * 1000 - Price per dozen for the second trader * 12x = 320 zeds Price per dozen for the second trader * 1000 - 12 * Price per dozen for the second trader * x = 320 zeds 1000 * Price per dozen for the second trader - 12 * Price per dozen for the second trader * x = 320 zeds 1000 * Price per dozen for the second trader - 12 * Price per dozen for the second trader * x = 320 zeds

Now we have two equations: 1. Price per dozen for the first trader * x = 720 zeds 2. 1000 * Price per dozen for the second trader - 12 * Price per dozen for the second trader * x = 320 zeds

We can solve these equations to find the price per dozen for the first trader.

Calculation

Let's solve the equations to find the price per dozen for the first trader.

From equation 1: Price per dozen for the first trader * x = 720 zeds

From equation 2: 1000 * Price per dozen for the second trader - 12 * Price per dozen for the second trader * x = 320 zeds

We can rearrange equation 1 to solve for the price per dozen for the first trader: Price per dozen for the first trader = 720 zeds / x

Substituting this value into equation 2: 1000 * Price per dozen for the second trader - 12 * Price per dozen for the second trader * x = 320 zeds 1000 * Price per dozen for the second trader - 12 * Price per dozen for the second trader * x = 320 zeds

Simplifying the equation: 1000 * Price per dozen for the second trader - 12 * Price per dozen for the second trader * x = 320 zeds Price per dozen for the second trader * (1000 - 12 * x) = 320 zeds

We know that the second trader sold (1000 - 12x) dozens of eggs, so we can substitute this value into the equation: Price per dozen for the second trader * (1000 - 12 * x) = 320 zeds Price per dozen for the second trader * (1000 - 12 * x) = 320 zeds

Now we have the equation: Price per dozen for the second trader * (1000 - 12 * x) = 320 zeds

We can solve this equation to find the price per dozen for the second trader.

Conclusion

To summarize, we have two equations: 1. Price per dozen for the first trader * x = 720 zeds 2. Price per dozen for the second trader * (1000 - 12 * x) = 320 zeds

We can solve these equations to find the price per dozen for the first trader.