Problem

Two common names for streets are Second Street and Main Street, with 14,792 streets bearing one of these names. There are 222 more streets named Second Street than Main Street. How many streets bear each name?
The number of streets named Second Street is
The number of streets named Main Street is

Answer

Expert–verified
Hide Steps
Answer

So, the number of streets named Second Street is \(\boxed{7507}\) and the number of streets named Main Street is \(\boxed{7285}\).

Steps

Step 1 :Let's denote the number of streets named Second Street as x and the number of streets named Main Street as y.

Step 2 :We know that the total number of streets bearing one of these names is 14,792, so we can write this as an equation: \(x + y = 14792\).

Step 3 :We also know that there are 222 more streets named Second Street than Main Street, so we can write this as another equation: \(x = y + 222\).

Step 4 :We can solve this system of equations to find the values of x and y.

Step 5 :The solution to the system of equations is {x: 7507, y: 7285}.

Step 6 :So, the number of streets named Second Street is \(\boxed{7507}\) and the number of streets named Main Street is \(\boxed{7285}\).

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