Question

Два отряда ныряльщиков . Каждый человек из первого отряда достал 7 жемчужин ,а каждый человек из второго достал 3 жемчужины. Всего было добыто 61 жемчужина. Сколько ныряльщиков в двух отрядах , если в первом отряде их количестно на 3 больше чем во втором ?

Answer 1

1) Составим пропорцию
Пусть X - 2 отряд
(X+3) - 1 отряд

2) Составим уровнение

3X+7(X+3)=61

3)Раскроем скобки

3X+7X+21=61

4)Переносим все известное в одну стророну все неизвестное в другую

10X=61-21
10X=40
X=40%10
X=4 (кол-во человек в 2 отряде)

5)Найдем кол-во человекв 1 отряде

4+3=7 (кол-во человек в 1 отряде)

6)Надейм сколько человек всего

7+4=11

Ответ: 11 человек в двух отрядах.

Answer 2

Problem Analysis

We are given two teams of divers, and each person in the first team found 7 pearls, while each person in the second team found 3 pearls. The total number of pearls found is 61. We need to determine the number of divers in each team, given that the first team has 3 more divers than the second team.

Solution

Let's assume the number of divers in the second team is x. Then the number of divers in the first team would be x + 3.

The total number of pearls found by the first team is 7 * (x + 3), and the total number of pearls found by the second team is 3 * x.

According to the problem, the total number of pearls found is 61. So we can set up the following equation:

7 * (x + 3) + 3 * x = 61

Now#### Calculating the Number of Divers in Two Teams

To solve this problem, we can use a system of equations. Let's denote the number of divers in the first team as x and the number of divers in the second team as y.

Given: - Each person in the first team found 7 pearls. - Each person in the second team found 3 pearls. - The total number of pearls found is 61. - The number of divers in the first team is 3 more than the number of divers in the second team.

We can create the following equations based on the given information:

1. Equation 1: - 7x (number of pearls found by the first team) + 3y (number of pearls found by the second team) = 61 (total number of pearls)

2. Equation 2: - x (number of divers in the first team) = y (number of divers in the second team) + 3

Let's solve this system of equations to find the values of x and y.

Solving the System of Equations

Substitute the value of x from Equation 2 into Equation 1:

7(y + 3) + 3y = 61 7y + 21 + 3y = 61 10y + 21 = 61 10y = 61 - 21 10y = 40 y = 40 / 10 y = 4

Now that we have the value of y, we can find the value of x using Equation 2:

x = y + 3 x = 4 + 3 x = 7

Answer

Therefore, there are 7 divers in the first team and 4 divers in the second team.