Question

Section 1 of 1 Cognitive At Question # 44 1. Christopher's salary equals to half of Matthew's salary. 2. One-third of Matthew's salary equals to one-fourth of Andrew's salary 3. Andrew's salary equals to three times of Christophy's salary. If the first two statements are true, the third statement is:​

Answer 1

To evaluate the truth of the third statement, let’s analyze the given information:

Christopher’s salary equals half of Matthew’s salary.

Let’s represent Christopher’s salary as C and Matthew’s salary as M. So, C = 0.5M.

One-third of Matthew’s salary equals one-fourth of Andrew’s salary.

Using the same representation, we have: (1/3)M = (1/4)A.

Andrew’s salary equals three times Christopher’s salary.

Let’s represent Andrew’s salary as A: A = 3C.

Now, let’s substitute the values from statement 1 into statement 2:

(1/3)M = (1/4)A

(1/3)M = (1/4)(3C)

(1/3)M = (3/4)C

M = (3/4)(3C)

M = (9/4)C

Comparing the equations from statement 1 (C = 0.5M) and statement 3 (A = 3C), we can substitute the value of C in statement 3:

A = 3(0.5M)

A = 1.5M

Therefore, the third statement is NOT true because A is equal to 1.5M, not 3C as stated.