A smoothie recipe uses a number 4 scoop of Greek yogurt, a number 8 scoop of frozen strawberries, and a number 8 scoop of fresh blueberries for 450 smoothies. How many gallons of Greek yogurt are needed?

A smoothie recipe uses a number 4 scoop of Greek yogurt, a number 8 scoop of frozen strawberries, and a number 8 scoop of fresh blueberries for 450 smoothies. How many gallons of Greek yogurt are needed?

• A. 28 gallons
• B. 112 gallons
• C. 113 gallons
• D. 29 gallons

Answer: (D)

Scaling the recipe and converting units. First find the total amount of Greek yogurt in scoops: 4 scoops per smoothie times 450 smoothies equals 1800 scoops. If a scoop is 1/4 cup (a common kitchen size), that’s 1800 × 1/4 = 450 cups of yogurt. Converting cups to gallons, since 1 gallon = 16 cups, 450 cups ÷ 16 = 28.125 gallons. In practice you’d round up to ensure you have enough, so you’d plan for 29 gallons of Greek yogurt.

Scaling the recipe and converting units. First find the total amount of Greek yogurt in scoops: 4 scoops per smoothie times 450 smoothies equals 1800 scoops. If a scoop is 1/4 cup (a common kitchen size), that’s 1800 × 1/4 = 450 cups of yogurt. Converting cups to gallons, since 1 gallon = 16 cups, 450 cups ÷ 16 = 28.125 gallons. In practice you’d round up to ensure you have enough, so you’d plan for 29 gallons of Greek yogurt.