Question

Two bottles of cough medicine are the same size. The cost of the Store Brand is two-thirds the cost of the National Brand. If you use S to represent the cost of the Store Brand and N to represent the cost of the National Brand, which of these equations correctly represents the situation?

a. S = (2/3)N
b. N = (2/3)S
c. S = 3N
d. N = 3S

Answer 1

The correct equation that represents the situation is S = (2/3)N. The equation is simple to understand and provides a clear representation of the relationship between the cost of the Store Brand and the cost of the National Brand.

Step-by-step explanation:

The correct equation that represents the situation is a. S = (2/3)N.

The question states that the cost of the Store Brand is two-thirds the cost of the National Brand. Let S represent the cost of the Store Brand and N represent the cost of the National Brand. Since the cost of the Store Brand is two-thirds the cost of the National Brand, the equation S = (2/3)N correctly represents the situation.

For example, if the National Brand costs $6, the Store Brand would cost $4. Using the equation S = (2/3)N, we can substitute $6 for N and find that S = (2/3)($6) simplifies to S = $4, which confirms that the equation correctly represents the relationship between the two brands.