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? Help steps

Answer 1

Answer:

10 rabbits

Step-by-step explanation:

Let us represent

Number of rabbits = x

Number of squirrels = y

Number of deer = z

Katniss caught three times as many squirrels as deer.

y = 3z

She also caught five less rabbits than squirrels.

y = x - 5

The total number of animals she caught is ten more than four times the number of deer caught.

x + y + z = 4 × z + 10

x + y + z = 4z + 10

How many rabbits did Katniss catch?

Number of rabbits = x

We make x subject of the formula

x + y + z = 4z + 10

x = 4z + 10 - y - z

y = 3z

x = 4z + 10 - 3z - z

x = 4z - z - 3z + 10

x = 4z - 4z + 10

x = 0 + 10

x = 10

Therefore, the number of rabbits Katniss caught is 10 rabbits