Question

You are making a recipe for a dish that requires 40 oz of lamb stew meat for 10 servings. You are cutting the stew meat yourself from pieces of a lamb shoulder but have experienced a 15% waste due to trimming. How much shoulder will you need for 50 servings.

Answer 1

The 553.29 oz of lamb shoulder will you need for 50 servings.

Initial stew meat needed:

40 oz of stew meat are required per 10 servings.

Therefore, 400 oz of stew meat are needed for 50 servings (40 oz/serving * 10 servings = 400 oz).

Trimmed meat needed:

You experience a 15% waste due to trimming.

This means that you need 15% more meat than the final amount of stew meat needed to account for the waste.

To calculate the amount of trimmed meat needed, we use the following formula:

trimmed_meat_needed = initial_stew_meat_needed / (1 - waste_percentage)

Plugging in the values, we get:

trimmed_meat_needed = 400 oz / (1 - 0.15) = 470.59 oz

Shoulder needed for 50 servings:

We know that 470.59 oz of trimmed meat are needed for 50 servings.

We also know that you experience a 15% waste due to trimming.

This means that you need to purchase 15% more shoulder than the amount of trimmed meat needed to account for the waste.

To calculate the amount of shoulder needed, we use the following formula:

shoulder_needed = trimmed_meat_needed / (1 - waste_percentage)

Plugging in the values, we get:

shoulder_needed = 470.59 oz / (1 - 0.15) = 553.29 oz

Therefore, you will need 553.29 oz of lamb shoulder for 50 servings.