Question

Over the course of a month, caught three times as many squirrels as deer. She also caught five less rabbits than squirrels. The total number of animals she caught is ten more than four times the number of deer caught. How many rabbits did Katniss catch?

Answer 1

The number of rabbits Katniss caught = 10 rabbits

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.