Question

Alisha is making an 18-ounce coffee beverage that is made from brewed coffee and milk. The number of ounces of coffee is 3 times greater than the number of ounces of milk. Let (c) represent the number of ounces of coffee, and let (m) represent the number of ounces of milk. Which systems of equations models this situation?

a) (c = 3m) and (c + m = 18)
b) (c = m) and (c - m = 18)
c) (3c = m) and (c + m = 18)
d) (c = 3m) and (c - m = 18)

Answer 1

Option a) (c = 3m) and (c + m = 18) models the situation. Additionally, the total number of ounces of coffee and milk combined is 18, which is represented by the equation c + m = 18.

Step-by-step explanation:

The correct option that models this situation is a) (c = 3m) and (c + m = 18).

This option represents the relationship between the number of ounces of coffee (c) and the number of ounces of milk (m).

In this case, the number of ounces of coffee is 3 times greater than the number of ounces of milk, which is represented by the equation c = 3m.

Additionally, the total number of ounces of coffee and milk combined is 18, which is represented by the equation c + m = 18.