Question

the greens are moving. their real - estate agent located 78 houses listed for sale in their price range. of those houses listed for sale, 46 had a finished basement, 53 had a three - car garage, 34 had a finished basement and a three - car garage. complete parts a) through c). a) how many had a finished basement but not a three - car garage? (type a whole number.) b) how many had a three - car garage but not a finished basement? (type a whole number.)

Explanation:

Step1: Identify given values

Total houses = 78, Houses with finished basement = 46, Houses with three - car garage = 53, Houses with both = 34.

Step2: Find houses with finished basement but not three - car garage

Use the principle of set - difference. Number of houses with finished basement but not three - car garage is the number of houses with finished basement minus the number of houses with both. So, $46 - 34=12$.

Step3: Find houses with three - car garage but not finished basement

Number of houses with three - car garage but not finished basement is the number of houses with three - car garage minus the number of houses with both. So, $53 - 34 = 19$.

Answer:

a) 12
b) 19