Question

In a loan database, there are 26 loans to clients with 16 years of business experience. Also, there are 14loans made to clients with a High School education. In the database there are 27 loans to clients with 16years of experience or who have a High School education. How many loans were made to clients with aHigh School education who also had 16 years of experience?

Answer 1

The number of loans given to clients with a High School education who also had 16 years of experience is 13

EXPLANTION

Step 1: Presentation of Variables

Let E represent the clients with 16 years of business experience

and H represent the clients with a High School education

Step 2: Given that

n(E) = 26

n(H) = 14

The number of clients with 16 years of experience or who have a High School education = n(EUH) = 27

Step 3: Determine the number of clients with a High School education who also had 16 years of experience

The number of clients with a High School education who also had 16 years of experience = n(EnH).

Now,

n(EUH) = n(E) + n(H) - n(EnH)

27 = 26 + 14 - n(EnH)

n(EnH) = 40 - 27

n(EnH) = 13

Hence, the number of loans given to clients with a High School education who also had 16 years of experience is 13.