In a loan database, there are 45 loans to clients with 20 years of business experience. Also
loans made to clients with a High School education. In the database there are 96 loans to
years of experience or who have a High School education. How many loans were made to c
High School education who also had 20 years of experience?
To find the number of loans made to clients with both a High School education and 20 years of business experience, we will use the principle of inclusion-exclusion.
First, let's define the following variables:
- A: Number of loans made to clients with 20 years of business experience.
- B: Number of loans made to clients with a High School education.
- C: Number of loans made to clients with both 20 years of business experience and a High School education.
According to the given information, we know that:
A = 45
B + A - C = 96
We want to find the value of C.
Rearrange the equation to isolate the value of C:
B + A - 96 = C
Substitute the given values:
C = 45 + B - 96
To proceed, we need to know the value of B (number of loans made to clients with a High School education). Unfortunately, the information provided does not give us this value.