Question

Subtract these amounts and simplify.

17mi23rd−12mi84rd=?
a) 3 mi 148 rd
b) 4 mi 259 rd
c) 5 mi 360 rd
d) 6 mi 43 rd

Answer 1

The subtraction of the two distances in miles and rods, after proper conversions and simplifications, results in a final answer of 4 mi 259 rd.

Step-by-step explanation:

The student is asking to subtract two distances measured in miles (mi) and rods (rd) and then simplify the result. The process involves two main steps: subtracting the rods and then the miles while converting rods to miles as needed for simplification. It's important to remember that there are 320 rods in a mile. Let's perform the subtraction:

1. Start by subtracting the rods: 23 rd - 84 rd = -61 rd. Since we cannot have a negative number of rods, we need to convert some miles into rods to make up the difference.
2. Convert 1 mile into rods: 1 mi = 320 rd. So, we take 1 mile from 17 miles, leaving us with 16 miles. Now we add the 320 rods to the initial 23 rods. 320 rd + 23 rd = 343 rd.
3. Subtract the rods again: 343 rd - 84 rd = 259 rd.
4. Finally, subtract the miles: 16 mi - 12 mi = 4 mi.
5. Combine the results to get the final answer: 4 mi 259 rd.

Therefore, the correct simplified difference is 4 mi 259 rd, which corresponds to option b).