Calculating Flock Sizes Based on Food Consumption

Explanation:

Understanding the Question

The question requires us to analyze the food consumption of three different flocks, referred to as Flock X, Flock Y, and Flock Z. Each flock consumed a certain number of pieces of food, and we need to determine the percentage of food they ate out of the total available. By calculating these food consumption percentages, we can estimate the number of birds in each flock, given a total of 30 birds across all flocks.

Calculation Process

To solve this question, we first need to divide the total pieces of food eaten by each flock by the overall number of pieces of food available, which is 300. This will give us the food consumption percentage for each flock. Subsequently, we will multiply each percentage by the total number of birds (30) to estimate the number of birds in each flock based on their food consumption.

Example Calculation

For instance, if Flock X consumed 32 pieces of food, the calculation would be as follows: (32 / 300) x 100 = 10.67%. This means that Flock X consumed 10.67% of the total food. By multiplying this percentage by the total number of birds (30), we can estimate the number of birds in Flock X.

Following the same process for Flock Y and Flock Z, we can determine the estimated flock sizes for each group based on their food consumption percentages. This calculation method allows us to make informed estimates about the distribution of birds across the flocks.