Farmer Brown's farm is 200 acres, and Farmer Smith's farm is 100 acres more than twice that. How many acres do the two farms have, together?

Answer: The two farms have 700 acres together.

Step-by-step solution

Step 1: State Farmer Brown's farm size

We are given that Farmer Brown's farm is 200 acres. This is our first piece of information.

Step 2: Calculate twice Farmer Brown's farm size

Farmer Smith's farm size depends on Farmer Brown's farm size. We first need to calculate 'twice' Farmer Brown's farm size as a step towards finding Farmer Smith's farm size.

Step 3: Calculate total acres for twice Farmer Brown's farm size

Performing the multiplication, twice Farmer Brown's farm size is $2 \times 200 = 400$ acres.

Step 4: Calculate Farmer Smith's farm size

We are told that Farmer Smith's farm is 100 acres more than twice Farmer Brown's farm size. So, we add 100 acres to the previously calculated 400 acres.

Step 5: Calculate total acres for Farmer Smith's farm

Adding the values, Farmer Smith's farm is $400 + 100 = 500$ acres.

Step 6: Calculate total acreage of both farms

To find the total acreage of both farms together, we need to sum the individual farm sizes of Farmer Brown and Farmer Smith.

Step 7: Substitute values and sum for total acreage

Now, we substitute the calculated sizes of both farms into the equation. Farmer Brown's farm is 200 acres and Farmer Smith's farm is 500 acres.

Step 8: Perform final summation

Adding the two values, $200 + 500 = 700$ . Therefore, the total combined acreage of both farms is 700 acres.

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