Question

Трём победителям соревнований по боксу присуждены премии общей суммой 15000 рублей. При этом вторая премия составила 60 % первой и относится к третьей как 1:2/3 Какой размер третьей премии?​

Answer 1

Ответ:

3000 рублей

Пошаговое объяснение:

первую премию берем за Х

вторая премия составляет 0.6Х

третья премия будет ⅔ от 0.6Х - 0.4Х

итого: Х+0.6Х+0.4Х=15000

Х=7500 рублей - первое место

а третье место равно 7500*0.4=3000 рублей

Answer 2

Calculation of the Third Prize

To calculate the size of the third prize, we need to determine the values of the first and second prizes.

Given that the total prize money is 15,000 rubles, and the second prize is 60% of the first prize, we can set up the following equation:

First Prize + Second Prize + Third Prize = Total Prize Money

Let's assign variables to the first and third prizes: - Let x represent the first prize. - Let y represent the third prize.

According to the given information, the second prize is 60% of the first prize. This can be expressed as:

Second Prize = 0.6 * First Prize

The third prize is related to the second prize in a ratio of 1:2/3. This can be expressed as:

Third Prize = (2/3) * Second Prize

Now, we can substitute the expressions for the second and third prizes into the equation for the total prize money:

x + 0.6x + (2/3)(0.6x) = 15,000

Simplifying the equation:

x + 0.6x + 0.4x = 15,000

Combining like terms:

2x = 15,000

Solving for x:

x = 15,000 / 2

x = 7,500

Now that we have the value of the first prize, we can substitute it back into the equation for the third prize:

y = (2/3) * 0.6x

y = (2/3) * 0.6 * 7,500

Simplifying the expression:

y = (2/3) * 4,500

y = 3,000

Therefore, the size of the third prize is 3,000 rubles.

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