Read the table and answer the questions.
| | Flock X | Flock Y | Flock Z |
|---|---|---|---|
| Total Pieces of Food Eaten | 57 | 153 | 90 |
| Food Percentage* | $\square$ % | $\square$ % | $\square$ % |
| 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 (2)
Calculate the food percentage for each flock by dividing the food eaten by 300 and multiplying by 100.
Calculate the simulated number of birds by multiplying the food percentage by 30.
Flock X: Food percentage is 19%, and the number of birds is 5.7.
Flock Y: Food percentage is 51%, and the number of birds is 15.3.
Flock Z: Food percentage is 30%, and the number of birds is 9.
The food percentages and simulated number of birds are: Flock X (19%, 5.7), Flock Y (51%, 15.3), and Flock Z (30%, 9). Fl oc k X : 19% , 5.7 ; Fl oc kY : 51% , 15.3 ; Fl oc k Z : 30% , 9
Explanation
Understanding the Problem We are given the total pieces of food eaten by each flock (X, Y, and Z) and need to calculate the food percentage for each flock and the simulated number of birds in each flock for the 2nd generation. The food percentage is calculated by dividing each flock's total pieces of food by 300 and multiplying by 100. The simulated number of birds is calculated by multiplying the food percentage for each flock by the total number of birds (30).
Calculating Food Percentage First, let's calculate the food percentage for each flock.
For Flock X: 300 57 × 100 = 19%
For Flock Y: 300 153 × 100 = 51%
For Flock Z: 300 90 × 100 = 30%
Calculating Number of Birds Next, let's calculate the simulated number of birds for each flock.
For Flock X: 19% × 30 = 0.19 × 30 = 5.7
For Flock Y: 51% × 30 = 0.51 × 30 = 15.3
For Flock Z: 30% × 30 = 0.30 × 30 = 9
Final Answer Therefore, the food percentages are 19%, 51%, and 30% for flocks X, Y, and Z, respectively. The simulated number of birds are 5.7, 15.3, and 9 for flocks X, Y, and Z, respectively.
Examples
Understanding percentages and proportions is crucial in many real-world scenarios. For instance, imagine you're managing a budget for a school event. Knowing how to calculate percentages helps you allocate funds to different activities based on their importance. Similarly, if you're analyzing survey results, understanding proportions allows you to draw meaningful conclusions about the opinions of the surveyed group. These skills are also vital in fields like finance, marketing, and data analysis, where interpreting numerical data is essential for making informed decisions.
The food percentages for flocks X, Y, and Z are 19%, 51%, and 30%, respectively. The simulated numbers of birds are 5.7, 15.3, and 9 for flocks X, Y, and Z. These calculations are based on the total pieces of food eaten by each flock out of 300.
;
