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?
Get the complete, step-by-step math solution for: "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?". Powered by SolveForX AI math tutor.
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 2×200=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.