the Second Generation
| | Flock X | Flock Y | Flock Z |
| --- | --- | --- | --- |
| Total Pieces of Food Eaten (from previous page) | 123 | 99 | 78 |
| Food Percentage* | | $\square$ % | $\square$ % |
| Simulated Number of Birds in Flock for 2nd 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 (1)
Calculate the food percentage for Flock Y: 300 99 × 100 = 33% .
Calculate the food percentage for Flock Z: 300 78 × 100 = 26% .
Calculate the simulated number of birds for Flock X: 0.41 × 30 = 12.3 .
Calculate the simulated number of birds for Flock Y: 0.33 × 30 = 9.9 , and for Flock Z: 0.26 × 30 = 7.8 . The food percentages and simulated number of birds are 41% , 33% , 26% and 12.3 , 9.9 , 7.8 respectively.
Explanation
Understanding the Problem We are given the total pieces of food eaten by three flocks of birds (X, Y, and Z) and need to calculate the food percentage for each flock and the simulated number of birds in the 2nd generation.
Calculating Food Percentages First, we calculate the food percentage for each flock by dividing the total pieces of food eaten by 300 (the total number of pieces of food eaten) and multiplying by 100.
Food Percentage Calculations For Flock X, the food percentage is calculated as follows: F oo d P erce n t a g e X = 300 123 × 100 = 41% For Flock Y, the food percentage is calculated as follows: F oo d P erce n t a g e Y = 300 99 × 100 = 33% For Flock Z, the food percentage is calculated as follows: F oo d P erce n t a g e Z = 300 78 × 100 = 26%
Calculating Simulated Number of Birds Next, we calculate the simulated number of birds for each flock by multiplying the food percentage by the total number of birds (30).
Simulated Number of Birds Calculations For Flock X, the simulated number of birds is calculated as follows: B i r d s X = 41% × 30 = 0.41 × 30 = 12.3 For Flock Y, the simulated number of birds is calculated as follows: B i r d s Y = 33% × 30 = 0.33 × 30 = 9.9 For Flock Z, the simulated number of birds is calculated as follows: B i r d s Z = 26% × 30 = 0.26 × 30 = 7.8
Final Answer Therefore, the food percentages for Flocks X, Y, and Z are 41%, 33%, and 26% respectively. The simulated number of birds for Flocks X, Y, and Z are 12.3, 9.9, and 7.8 respectively.
Examples
Imagine you're managing a wildlife reserve and tracking bird populations. By monitoring how much each flock eats, you can estimate their growth rate and adjust resource allocation to ensure a healthy ecosystem. This method helps in predicting population changes and making informed decisions about conservation efforts, such as providing supplemental food or protecting nesting sites. This is crucial for maintaining biodiversity and preventing overpopulation or decline in specific species.
