Question

Делегация некоторой страны на Олимпийских играх будет состоять из спортсменов и чиновников. Средний возраст этих спортсменов на начало олимпиады составит 22года,а чиновников 47 лет. При этом средний возраст всех членов делегации окажется равным 41году. Какова в этой делегации доля чиновников, выраженная в процентах?? пожалуйста помогите.

Answer 1

Х - спортсменов, у - чиновников.
средний возраст делегации:
$\frac{22x+47y}{x+y}$=41
22x+47y=41x+41y
6y=19x
$\frac{y}{x}$=$\frac{19}{6}$
значит часть чиновников равна $\frac{19}{19+6}$=$\frac{19}{25}$=0.76=76%

Answer 2

Problem Analysis

We are given the average age of athletes and officials in a delegation participating in the Olympic Games. We need to find the percentage of officials in the delegation.

Solution

Let's assume the total number of members in the delegation is x. We are given the following information:

- The average age of athletes is 22 years. - The average age of officials is 47 years. - The average age of all members is 41 years.

To find the percentage of officials in the delegation, we need to determine the ratio of officials to the total number of members.

Let's solve the problem step by step:

1. Let's assume the number of officials in the delegation is y. 2. The number of athletes in the delegation will be x - y. 3. We can calculate the sum of the ages of all members using the average age and the total number of members: - The sum of the ages of athletes will be (x - y) * 22. - The sum of the ages of officials will be y * 47. - The sum of the ages of all members will be 41 * x. 4. We can set up an equation using the above information: - (x - y) * 22 + y * 47 = 41 * x 5. Simplifying the equation: - 22x - 22y + 47y = 41x - 19x = 25y - x/y = 25/19 - y/x = 19/25 - The ratio of officials to the total number of members is 19/25. 6. To find the percentage of officials, we multiply the ratio by 100: - (19/25) * 100 = 76%

Therefore, the percentage of officials in the delegation is 76%.

Answer

The percentage of officials in the delegation, expressed as a percentage, is 76%.