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There are 22heads and 72 feet. so how to find how many horses and mans are there in these?
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There are 22heads and 72 feet. so how to find how many horses and mans...
Analysis of the Problem:
Given that there are 22 heads and 72 feet, we need to determine the number of horses and men present in the group.
Let's break down the problem:
- Let's assume the number of horses in the group is 'h' and the number of men is 'm'.
- Each horse has one head and four feet.
- Each man has one head and two feet.
- We can create the following equations based on the information given:
1. h + m = 22 (total number of heads)
2. 4h + 2m = 72 (total number of feet)
Solving the Equations:
- Using the equations above, we can solve for 'h' and 'm'.
- From equation 1: h = 22 - m
- Substitute h in equation 2: 4(22 - m) + 2m = 72
- Simplify the equation: 88 - 4m + 2m = 72
- Combine like terms: 88 - 2m = 72
- Rearrange the equation: 2m = 16
- Solve for m: m = 8
- Substitute m back into h = 22 - m: h = 22 - 8 = 14
Conclusion:
There are 14 horses and 8 men in the group.
Given that there are 22 heads and 72 feet, we need to determine the number of horses and men present in the group.
Let's break down the problem:
- Let's assume the number of horses in the group is 'h' and the number of men is 'm'.
- Each horse has one head and four feet.
- Each man has one head and two feet.
- We can create the following equations based on the information given:
1. h + m = 22 (total number of heads)
2. 4h + 2m = 72 (total number of feet)
Solving the Equations:
- Using the equations above, we can solve for 'h' and 'm'.
- From equation 1: h = 22 - m
- Substitute h in equation 2: 4(22 - m) + 2m = 72
- Simplify the equation: 88 - 4m + 2m = 72
- Combine like terms: 88 - 2m = 72
- Rearrange the equation: 2m = 16
- Solve for m: m = 8
- Substitute m back into h = 22 - m: h = 22 - 8 = 14
Conclusion:
There are 14 horses and 8 men in the group.
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There are 22heads and 72 feet. so how to find how many horses and mans are there in these?
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There are 22heads and 72 feet. so how to find how many horses and mans are there in these? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about There are 22heads and 72 feet. so how to find how many horses and mans are there in these? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are 22heads and 72 feet. so how to find how many horses and mans are there in these?.
There are 22heads and 72 feet. so how to find how many horses and mans are there in these? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about There are 22heads and 72 feet. so how to find how many horses and mans are there in these? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are 22heads and 72 feet. so how to find how many horses and mans are there in these?.
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