The Greens are moving. Their real estate agent located 81 houses listed for sale

Question

The Greens are moving. Their real estate agent located 81 houses listed for sale in their price range. Of those houses listed for sale, 49 had a finished basement. 54 had a three-car garage. 39 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? 10 (Type a whole number.) b) How many had a three-car garage but not a finished basement? 15 (Type a whole number.) c) How many had either a finished basement or a three-car garage? 64 (Type a whole number)

Explanation / Answer

let A = finished basement

B = three-car garage

n(A) = 49

n(B) =54

n(A and B) = 39

a)

finished basement but not three-car garage

= n(A) - n(A andB)

= 49 - 39

= 10

b)

three-car garage but not finished basement

= n(B) - n(A and B)

= 54 -39

= 15

c)

n(A or B) = n(A) + n(B) - n(A and B)

= 49 + 54 - 39

= 64

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