Let's break down the problem and solve it step-by-step:
### Step 1: Calculate the Food Percentage for Each Flock
First, we need to determine the percentage of the total food each flock ate. Given:
- Flock X ate 147 pieces of food.
- Flock Y ate 93 pieces of food.
- Flock Z ate 60 pieces of food.
- The total pieces of food eaten by all flocks is 300.
#### Flock X:
[tex]\[ \text{Food percentage of Flock X} = \left(\frac{147}{300}\right) \times 100\% = 49\% \][/tex]
#### Flock Y:
[tex]\[ \text{Food percentage of Flock Y} = \left(\frac{93}{300}\right) \times 100\% = 31\% \][/tex]
#### Flock Z:
[tex]\[ \text{Food percentage of Flock Z} = \left(\frac{60}{300}\right) \times 100\% = 20\% \][/tex]
### Step 2: Calculate the Simulated Number of Birds in Each Flock for the 3rd Generation
Next, we need to use these percentages to find out how many birds will be in each flock in the 3rd generation. Given:
- The total number of birds is 30.
#### Flock X:
[tex]\[ \text{Simulated number of birds in Flock X} = \left(\frac{49}{100}\right) \times 30 = 14.7 \][/tex]
#### Flock Y:
[tex]\[ \text{Simulated number of birds in Flock Y} = \left(\frac{31}{100}\right) \times 30 = 9.3 \][/tex]
#### Flock Z:
[tex]\[ \text{Simulated number of birds in Flock Z} = \left(\frac{20}{100}\right) \times 30 = 6.0 \][/tex]
### Summary of Results:
- Food percentage for Flock X: 49%
- Food percentage for Flock Y: 31%
- Food percentage for Flock Z: 20%
- Simulated number of birds in Flock X: 14.7
- Simulated number of birds in Flock Y: 9.3
- Simulated number of birds in Flock Z: 6.0
By following these steps, we have calculated both the food percentages and the simulated number of birds for each flock in the 3rd generation.
