Question

Математика 4 класс. Задание: Решите задачу разными способами. Задача: В спортивных соревнованиях участвовали 140 девочек и 160 мальчиков. Все они разделились на 10 равных по количеству детей команд. Сколько детей было в каждой команде?

Answer 1

Problem Analysis

To solve this problem, we need to find the number of children in each team when 140 girls and 160 boys are divided into 10 teams with an equal number of children in each team.

Solution 1: Using Division

One way to solve this problem is by using division. We can divide the total number of children (140 girls + 160 boys = 300 children) by the number of teams (10 teams) to find the number of children in each team.

Step 1: Calculate the total number of children: 140 girls + 160 boys = 300 children.

Step 2: Divide the total number of children by the number of teams: 300 children ÷ 10 teams = 30 children in each team.

Therefore, there were 30 children in each team.

Solution 2: Using Proportions

Another way to solve this problem is by using proportions. We can set up a proportion to find the number of children in each team.

Step 1: Set up the proportion: (Number of girls + Number of boys) is to Total number of children as 1 team is to Total number of teams.

Step 2: Substitute the given values into the proportion: (140 girls + 160 boys) is to 300 children as 1 team is to 10 teams.

Step 3: Solve the proportion: (140 + 160) is to 300 as 1 is to 10.

Step 4: Cross-multiply and solve for the unknown value: (140 + 160) × 10 = 300 × 1.

Step 5: Simplify the equation: 300 × 10 = 300.

Step 6: Solve for the unknown value: 3000 = 300.

Step 7: Divide both sides of the equation by 10: 3000 ÷ 10 = 300 ÷ 10.

Step 8: Simplify the equation: 300 = 30.

Therefore, there were 30 children in each team.

Solution 3: Using Subtraction

Yet another way to solve this problem is by using subtraction. We can subtract the number of children in each team from the total number of children to find the remaining children.

Step 1: Calculate the total number of children: 140 girls + 160 boys = 300 children.

Step 2: Divide the total number of children by the number of teams: 300 children ÷ 10 teams = 30 children in each team.

Step 3: Subtract the number of children in each team from the total number of children: 300 children - 30 children = 270 remaining children.

Therefore, there were 30 children in each team and 270 remaining children.

Conclusion

In conclusion, when 140 girls and 160 boys are divided into 10 teams with an equal number of children in each team, there were 30 children in each team.