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Two common names for streets are Fourth Street and Main Street, with 14,593 streets bearing one of these names.There are 443 more streets named Fourth Street than Main Street. How many streets bear each name?

Respuesta :

Let

x ----> number of streets that bear Fourth Street

y ----> number of streets that bear Main Street

we know that

x+y =14,593 --------> x=14,593-y -----> equation 1

and

x=y+443 ------> equation 2

Solve the system of equations

Equate both equations

14,593-y=y+443

solve for y

2y=14,593-443

2y=14,150

y=7,075

Find out the value of x

x=y+443 ---------> x=7,075+443=7,518

therefore

Fourth Street: 7,518 streets

Main Street: 7,075 streets

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