If 2a = 7b and 14b = c, then a is equal to

Explanation

To solve the given problem, start by substituting the second equation into the first. We have 2a = 7b and 14b = c. From 14b = c, we can express b as b = c/14. Substitute this into the first equation: 2a = 7(c/14). Simplifying, we obtain 2a = c/2. Divide both sides by 2, resulting in a = c/4. Therefore, the correct answer is c/4.Option A: 4c assumes that a is multiplied by c in a way that does not align with the given equations. Option B: 2c suggests an incorrect direct proportion between a and c. Option C: c implies that a equals c without considering the necessary division. Only Option D correctly reflects the relationships and divisions needed according to the given expressions.