Let N be no. of nickles. Then N($.05)+3N($.10)+2N($.25)=$3.40.
Or
4 nickels = $0.20
12 dimes = $1.20
8 Quarters = $2.00
Total = $3.40
375 mi^2 15
--------------- = ------ = 3/2
250 mi^2 10
The ratio of the population of Henderson County to that of Perquimans is 3/2.
The calculation is not reasonable, because 0.45 is less tha 1/2 ( 0.50) and what he has for an answer is half the distance ( 250.17 is 1/2 of 500.34).
To find actual mileage, multiply by 0.45:
500.34 x 0.45 = 225.153 miles.
Round the answer as needed.