12 cows together eat 756 kg of grass in 7 days. How much grass will be caten by 15 cows in 10 days?

Options

A. 1500 kg
B. 1200 kg
C. 1350 kg
D. 1400 kg

Answer

To solve the problem, we will follow these steps:

### Step 1: Calculate the daily grass consumption for 12 cows.
We know that 12 cows eat 756 kg of grass in 7 days. To find out how much grass they eat in one day, we divide the total amount of grass by the number of days.

\[ \text{Grass eaten by 12 cows in 1 day} = \frac{756 \text{ kg}}{7 \text{ days}} = 108 \text{ kg/day} \]

### Step 2: Calculate the daily grass consumption for 1 cow.
Now, we need to find out how much grass one cow eats in one day. We divide the daily consumption of 12 cows by 12.

\[ \text{Grass eaten by 1 cow in 1 day} = \frac{108 \text{ kg}}{12} = 9 \text{ kg/day} \]

### Step 3: Calculate the daily grass consumption for 15 cows.
Next, we will calculate how much grass 15 cows will eat in one day. We multiply the daily consumption of one cow by 15.

\[ \text{Grass eaten by 15 cows in 1 day} = 9 \text{ kg/day} \times 15 = 135 \text{ kg/day} \]

### Step 4: Calculate the total grass consumption for 15 cows in 10 days.
Finally, we will find out how much grass 15 cows will eat in 10 days by multiplying their daily consumption by 10.

\[ \text{Grass eaten by 15 cows in 10 days} = 135 \text{ kg/day} \times 10 = 1350 \text{ kg} \]

### Final Answer:
Thus, the total amount of grass that will be eaten by 15 cows in 10 days is **1350 kg**.

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