Moderate# New Year's Resolutions: How Much Did the Smoothie Cost?

GMAT-FOUVZX

David's New Year's Resolution is to work out at the gym every day. After each workout, he goes to the gym's bar and orders a one cup smoothie that is $\cfrac{1}{4}$ protein powder, $\cfrac{1}{3}$ almond milk, and equal parts strawberries and bananas.

The cost of the smoothie is equal to the sum of its components. Per full cup, protein powder costs $\$12$, almond milk costs $\$9$, and fruits cost $\$8$.

How much did one of David's smoothies cost?