Answer:
The number of rabbits Katniss caught = 10 rabbits
Step-by-step explanation:
The number of squirrels Katniss caught = 3 × (The number of deer she caught)
The number of rabbits Katniss caught = The number of squirrels she caught - 5
The total number of animals she caught = 10 + 4 × (The number of deer she caught)
Let the number of deer Katniss caught = D
∴ The number of squirrels she caught = 3×D
The number of rabbits Katniss caught = 3×D - 5
The total number of animals she caught = 10 + 4 × D
Therefore, we have;
The number of squirrels she caught + The number of deer she caught + The number of rabbits she caught = 10 + 4 × D
3×D + D + 3×D-5 = 10 + 4 × D
7·D - 5 = 10 + 4·D
7·D - 4·D = 10 + 5
3·D = 15
D = 15/5 = 5
∴ The number of deer Katniss caught = D = 5
The number of rabbits Katniss caught = 3×5 - 5 = 10
The number of rabbits Katniss caught = 10 rabbits.
