25 horses eat 5 bags of corn in 12 days, how many bags of corn will 10 horses eat in 18 days ?

Answer

To solve the problem step by step, we need to establish the relationship between the number of horses, the amount of corn they eat, and the time taken.

### Step 1: Understand the given information
We know that:
- 25 horses eat 5 bags of corn in 12 days.

### Step 2: Calculate the corn consumption per horse per day
First, we need to find out how much corn one horse consumes in one day.

1. **Total bags of corn consumed by 25 horses in 12 days**:
\[ \text{Total corn consumed} = 5 \text{ bags} \]

2. **Corn consumed per horse in 12 days**:
\[ \text{Corn per horse} = \frac{5 \text{ bags}}{25 \text{ horses}} = 0.2 \text{ bags per horse in 12 days} \]

3. **Corn consumed per horse per day**:
\[ \text{Corn per horse per day} = \frac{0.2 \text{ bags}}{12 \text{ days}} = \frac{1}{60} \text{ bags per horse per day} \]

### Step 3: Calculate the total corn consumption for 10 horses in 18 days
Now, we need to find out how much corn 10 horses will eat in 18 days.

1. **Total corn consumed by 10 horses in 18 days**:
\[ \text{Total corn} = \text{Number of horses} \times \text{Corn per horse per day} \times \text{Number of days} \]
\[ \text{Total corn} = 10 \text{ horses} \times \frac{1}{60} \text{ bags per horse per day} \times 18 \text{ days} \]
\[ \text{Total corn} = 10 \times \frac{18}{60} = 10 \times \frac{3}{10} = 3 \text{ bags} \]

### Conclusion
Therefore, 10 horses will eat **3 bags of corn in 18 days**.

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