Complete the table.
| | Flock X | Flock Y | Flock Z |
|---|---|---|---|
| Total Pieces of Food Eaten | 32 | 180 | 88 |
| Food Percentage* | $\square$ % | $\square$ % | $\square$ % |
| Simulated Number of Birds in Flock for 3rd Generation** | $\square$ | $\square$ | $\square$ |
* Divide each flock's total pieces of food by 300, the total number of pieces of food eaten.
** Multiply the food percentage for each flock by the total number of birds (30).
Answer (2)
Calculate the food percentage for Flock X: F oo d P erce n t a g e X = ( 32/300 ) × 100 = 10.67% .
Calculate the food percentage for Flock Y: F oo d P erce n t a g e Y = ( 180/300 ) × 100 = 60% .
Calculate the food percentage for Flock Z: F oo d P erce n t a g e Z = ( 88/300 ) × 100 = 29.33% .
Calculate the simulated number of birds for each flock by multiplying the food percentage by the total number of birds (30), resulting in B i r d s X = 3.2 , B i r d s Y = 18 , and B i r d s Z = 8.8 .
Explanation
Understanding the Problem We are given the total pieces of food eaten by each flock and the total number of pieces of food eaten overall. We need to calculate the food percentage for each flock and the simulated number of birds in each flock for the 3rd generation.
Calculating Food Percentage First, we calculate the food percentage for each flock by dividing the flock's total pieces of food eaten by the total number of pieces of food eaten (300) and multiplying by 100.
Food Percentage for Flock X The food percentage for Flock X is calculated as follows: F oo d P erce n t a g e X = 300 32 × 100 = 10.666666666666668 ≈ 10.67%
Food Percentage for Flock Y The food percentage for Flock Y is calculated as follows: F oo d P erce n t a g e Y = 300 180 × 100 = 60%
Food Percentage for Flock Z The food percentage for Flock Z is calculated as follows: F oo d P erce n t a g e Z = 300 88 × 100 = 29.333333333333332 ≈ 29.33%
Calculating Simulated Number of Birds Next, we calculate the simulated number of birds for each flock by multiplying the food percentage for each flock (as a decimal) by the total number of birds (30).
Simulated Number of Birds for Flock X The simulated number of birds for Flock X is calculated as follows: B i r d s X = 100 10.666666666666668 × 30 = 3.2
Simulated Number of Birds for Flock Y The simulated number of birds for Flock Y is calculated as follows: B i r d s Y = 100 60 × 30 = 18
Simulated Number of Birds for Flock Z The simulated number of birds for Flock Z is calculated as follows: B i r d s Z = 100 29.333333333333332 × 30 = 8.8
Final Answer Therefore, the food percentages for flocks X, Y, and Z are approximately 10.67%, 60%, and 29.33% respectively. The simulated number of birds for flocks X, Y, and Z are 3.2, 18, and 8.8 respectively.
Examples
Understanding ratios and percentages is crucial in many real-world scenarios. For instance, imagine you're managing a budget for a school event. Knowing the percentage of funds allocated to different activities helps ensure balanced spending. Similarly, if you're analyzing survey results, calculating percentages allows you to understand the proportion of people who hold certain opinions. These skills are also vital in fields like finance, marketing, and data analysis, where interpreting proportional data is essential for making informed decisions. By mastering these concepts, you'll be well-equipped to tackle various practical challenges.
To complete the table, the food percentages for flocks X, Y, and Z are approximately 10.67%, 60%, and 29.33% respectively. The simulated numbers of birds for flocks X, Y, and Z are 3.2, 18, and 8.8 respectively. This gives us a clear picture of the distribution of food consumption and the resulting bird populations based on food availability.
;
