Question

Of the 75 houses in a certain community, 48 have a patio. How many of the houses in the community have a swimming pool?

Answer 1

Please see the answer

Explanation:

Now we define the question in this approach

P= # of houses with patio only.

Q= # of houses with pool only.

R= # of houses with patio & pool.

S= # of houses with no patio & no pool.

Given P+Q+R+S=75

& P+R=48

What is Q+R? (1)

Solving the first two equations

Q+S+48=75

Q+S=27 (2)

Now let's look at the statements

Statement 1

P=38 unnecessary and insufficient.

Statement 2

R=S

Substituting in (1)

Q+S?

We know form (2) that Q+S=27

hence sufficient.