Question

После соревнований по борьбе сумму 450000 р. распределили между спортсменами, занявшими 1-е, 2-е и 3-е места, в отношении 6: 2:1. Найди вознаграждение, которую получил каждый призёр. Вознаграждение за 1-е место составило р. Вознаграждение за 2-е место составило р. Вознаграждение за 3-е место составило р.​

Answer 1

6х+2х+х=450 000
9х=450 000
х=450 000:9
х=50 000(руб)-приз 3-е место
5х=5*50000=250000(руб)-1-е место
3х=3*50000+150000(руб)-2-е место

Answer 2

Distribution of Prize Money Among Wrestlers

After a wrestling competition, a total sum of 450,000 rubles was distributed among the athletes who secured the 1st, 2nd, and 3rd positions in the ratio of 6:2:1. The reward for the 1st place was x rubles, for the 2nd place was y rubles, and for the 3rd place was z rubles.

To find the amount each prize winner received, we can use the given ratio and the total prize money.

Let's denote the total prize money as T, the reward for the 1st place as x, for the 2nd place as y, and for the 3rd place as z.

According to the given ratio, the total prize money can be expressed as: 6x + 2y + z = 450,000

We also know that the reward for the 1st place is x rubles, for the 2nd place is y rubles, and for the 3rd place is z rubles.

Given: - Total prize money (T) = 450,000 rubles - Ratio of distribution = 6:2:1 - Reward for 1st place = x rubles - Reward for 2nd place = y rubles - Reward for 3rd place = z rubles

We can use this information to solve for the individual rewards for each place.

Let's calculate the rewards for each place.