Question

Your bakery has received an order for 45 dozen blueberry donuts. You use a recipe that makes 5 dozen donuts and calls for 1(2)/(3) cups of blueberries. If blueberries are only sold in quarts, how many quarts are needed to complete this order?

Answer 1

To fulfill the order, the bakery needs 4 quarts of blueberries.

Step-by-step explanation:

The task is to determine the number of quarts of blueberries required to fulfill an order for 45 dozen blueberry donuts using a recipe that yields 5 dozen donuts with 1\(2/3) cups of blueberries per batch. First, calculate the total number of dozens that can be made from one recipe: 45 dozen donuts / 5 dozen per batch = 9 batches needed. Next, calculate the total number of cups required for the blueberries: 1\(2/3) cups per batch × 9 batches = 15 cups of blueberries. Finally, convert cups to quarts, knowing that 1 quart equals 4 cups. Set up a proportion where 4 cups/1 quart = 15 cups/x quarts. ​Solving for x gives us x = 15 cups ÷ 4 cups/quart = 3.75 quarts. Rounding up, the bakery needs 4 quarts of blueberries to complete the order.