step 12: determine the sizes of the flocks in the third generation\n| | flock x | flock y | flock z…

step 12: determine the sizes of the flocks in the third generation\n| | flock x | flock y | flock z |\n|--|--|--|--|\n| total pieces of food eaten | 32 | 180 | 88 |\n| food percentage* | | | |\n| simulated number of birds in flock for 3rd generation** | | | |\n* divide each flocks total pieces of food by 300, the total number of pieces of food eaten.\n** multiply the food percentage for each flock by the total number of birds (30).\ndone

step 12: determine the sizes of the flocks in the third generation\n| | flock x | flock y | flock z |\n|--|--|--|--|\n| total pieces of food eaten | 32 | 180 | 88 |\n| food percentage* | | | |\n| simulated number of birds in flock for 3rd generation** | | | |\n* divide each flocks total pieces of food by 300, the total number of pieces of food eaten.\n** multiply the food percentage for each flock by the total number of birds (30).\ndone

Answer

Explanation:

Step1: Calculate food percentage for Flock X

$Food\ percentage\ of\ Flock\ X=\frac{32}{300}\times100\approx10.67%$

Step2: Calculate food percentage for Flock Y

$Food\ percentage\ of\ Flock\ Y=\frac{180}{300}\times100 = 60%$

Step3: Calculate food percentage for Flock Z

$Food\ percentage\ of\ Flock\ Z=\frac{88}{300}\times100\approx29.33%$

Step4: Calculate simulated number of birds for Flock X

$Simulated\ number\ of\ birds\ in\ Flock\ X = 0.1067\times30\approx3$

Step5: Calculate simulated number of birds for Flock Y

$Simulated\ number\ of\ birds\ in\ Flock\ Y=0.6\times30 = 18$

Step6: Calculate simulated number of birds for Flock Z

$Simulated\ number\ of\ birds\ in\ Flock\ Z=0.2933\times30\approx9$

Answer:

Food Percentage: Flock X: 10.67%, Flock Y: 60%, Flock Z: 29.33% Simulated Number of Birds in Flock for 3rd Generation: Flock X: 3, Flock Y: 18, Flock Z: 9