Question

Over the course of a month, Katniss 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? - let x = number of deer​​​​ Write an equation for deer plus squirrels plus rabbits equals total: - Write an expression for squirrels:​​​ - Write an expression for rabbits: - Write an expression for the total number of animals:

Answer 1

She caught 10 rabbits

Explanation:

Given

Represent Rabbits with R; Squirrels with S and Deer with D

`S = 3D`

`S = R - 5`

`S + R+ D = 10 +4D`

Required

Determine the value of R

`S + R+ D = 10 +4D`

Solve for R

`R = 10 + 4D - D - S`

`R = 10 + 3D - S`

Recall that
`S = 3D`

Substitute 3D for S

`R = 10 + 3D - 3D`

`R = 10`

Hence;

She caught 10 rabbits