SOLUTION: On a certain street, the houses on the west side have consecutive odd numbers and those on the east side have consecutive even numbers. If only the houses on the east side with num

Algebra ->  Average -> SOLUTION: On a certain street, the houses on the west side have consecutive odd numbers and those on the east side have consecutive even numbers. If only the houses on the east side with num      Log On


   

Question 618700: On a certain street, the houses on the west side have consecutive odd numbers and those on the east side have consecutive even numbers. If only the houses on the east side with numbers 122 through 182 are painted blue, how many houses on the street are painted blue?
A)120
B)60
C)59
D)31
E)30
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

houses on the east side (having even house numbers) with numbers 122 through 182 are painted blue.

how many houses on the street are painted blue?

a%5Bn%5D=122%2B%28n-1%29%2A2+=+182

           (n-1)*2 = 60

           2n-2 = 60

             2n = 62

              n = 31 houses painted blue