District A has 48 trucks in service. District B only had 3/8 as many trucks, and three of these are being repaired. How many trucks does District B have in active service?
District B has (3/8)(48) = ... trucks
If 3 of those are being repaired , how many are in use?
15 trucks
To find the number of trucks District B has in active service, we need to determine the number of trucks that are not being repaired.
First, we calculate the total number of trucks in District B:
District B trucks = (3/8) * District A trucks
District B trucks = (3/8) * 48 trucks
District B trucks = 3/8 * 48 trucks
District B trucks = (3 * 48) / 8
District B trucks = 144 / 8
District B trucks = 18 trucks
Next, we subtract the number of trucks being repaired from the total number of District B trucks:
Trucks in active service = District B trucks - Trucks being repaired
Trucks in active service = 18 trucks - 3 trucks
Trucks in active service = 15 trucks
Therefore, District B has 15 trucks in active service.
To find the number of trucks in active service in District B, we need to know how many trucks are currently being repaired in District B. Given that District B has only 3/8 as many trucks as District A, we first need to calculate the total number of trucks in District B.
Step 1: Calculate the number of trucks in District B
Number of trucks in District B = (3/8) * Number of trucks in District A
Given that District A has 48 trucks in service, we can substitute this value into the equation:
Number of trucks in District B = (3/8) * 48
Number of trucks in District B = (3 * 48) / 8
Number of trucks in District B = 144 / 8
Number of trucks in District B = 18
So, District B has a total of 18 trucks.
Step 2: Calculate the number of trucks in active service in District B
To find the number of trucks in active service, we need to subtract the number of trucks being repaired from the total number of trucks in District B.
Given that three trucks are being repaired in District B, we can subtract this from the total number of trucks:
Number of trucks in active service in District B = Total number of trucks in District B - Number of trucks being repaired
Number of trucks in active service in District B = 18 - 3
Number of trucks in active service in District B = 15
Therefore, District B has 15 trucks in active service.