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21 goats eat as much as 15 cows. How many goats eat as much as 35 cows?
- a)38
- b)49
- c)37
- d)41
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
21 goats eat as much as 15 cows. How many goats eat as much as 35 cows...
Understanding the Problem
To determine how many goats are equivalent to 35 cows in terms of food consumption, we need to analyze the initial relationship between goats and cows.
Initial Ratio
From the problem, we know that:
- 21 goats eat as much as 15 cows.
Finding the Equivalent of 1 Cow
To find the consumption of one cow in terms of goats:
- Consumption of 1 cow = 21 goats / 15 cows = 1.4 goats.
This means that one cow's food requirement is equivalent to the consumption of 1.4 goats.
Finding the Equivalent of 35 Cows
Now, we need to find out how many goats would consume the same amount of food as 35 cows:
- Consumption of 35 cows = 35 cows * 1.4 goats/cow = 49 goats.
Final Calculation
Thus, the number of goats that eat as much as 35 cows is:
- 49 goats.
Conclusion
The correct answer is option 'B', which is 49 goats. This calculation is based on the established ratio of food consumption between goats and cows.
To determine how many goats are equivalent to 35 cows in terms of food consumption, we need to analyze the initial relationship between goats and cows.
Initial Ratio
From the problem, we know that:
- 21 goats eat as much as 15 cows.
Finding the Equivalent of 1 Cow
To find the consumption of one cow in terms of goats:
- Consumption of 1 cow = 21 goats / 15 cows = 1.4 goats.
This means that one cow's food requirement is equivalent to the consumption of 1.4 goats.
Finding the Equivalent of 35 Cows
Now, we need to find out how many goats would consume the same amount of food as 35 cows:
- Consumption of 35 cows = 35 cows * 1.4 goats/cow = 49 goats.
Final Calculation
Thus, the number of goats that eat as much as 35 cows is:
- 49 goats.
Conclusion
The correct answer is option 'B', which is 49 goats. This calculation is based on the established ratio of food consumption between goats and cows.
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Community Answer
21 goats eat as much as 15 cows. How many goats eat as much as 35 cows...
15 Cows eat as much as 21 Goats.
∴ 1 Cows eat as much as 21/ 15 Goats.
∴ 35 Cows eat as much as 21 x 35 / 15 Goats.
∴ 35 Cows eat as much as 21 x 7 / 3 Goats.
∴ 35 Cows eat as much as 7 x 7 Goats.
∴ 35 Cows eat as much as 49 Goats.
∴ 1 Cows eat as much as 21/ 15 Goats.
∴ 35 Cows eat as much as 21 x 35 / 15 Goats.
∴ 35 Cows eat as much as 21 x 7 / 3 Goats.
∴ 35 Cows eat as much as 7 x 7 Goats.
∴ 35 Cows eat as much as 49 Goats.
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Question Description
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