If 21 cows eat as much as 15 buffaloes.how many cows will eat as much as 35 buffaloes?

Options

A. 45
B. 49
C. 56
D. 54

Answer

To solve the problem, we will use the concept of the unitary method. We know that 21 cows eat as much as 15 buffaloes. We need to find out how many cows will eat as much as 35 buffaloes.

### Step-by-Step Solution:

1. **Understand the Ratio**:
We start with the information that 21 cows are equivalent to 15 buffaloes. This gives us the ratio of cows to buffaloes:
\[ 21 \text{ cows} = 15 \text{ buffaloes} \]

2. **Find the Equivalent for One Buffalo**:
To find out how many cows are equivalent to one buffalo, we divide the number of cows by the number of buffaloes:
\[ \text{Cows per buffalo} = \frac{21 \text{ cows}}{15 \text{ buffaloes}} = \frac{21}{15} = \frac{7}{5} \]
This means 1 buffalo is equivalent to \( \frac{7}{5} \) cows.

3. **Calculate for 35 Buffaloes**:
Now, we need to find out how many cows are equivalent to 35 buffaloes. We multiply the number of cows per buffalo by the number of buffaloes:
\[ \text{Cows for 35 buffaloes} = 35 \text{ buffaloes} \times \frac{7}{5} \text{ cows/buffalo} \]
\[ = 35 \times \frac{7}{5} = \frac{35 \times 7}{5} = \frac{245}{5} = 49 \]

4. **Conclusion**:
Therefore, 35 buffaloes are equivalent to 49 cows.

### Final Answer:
49 cows will eat as much as 35 buffaloes.