40 species of animals live in the forest: 7 species more carnivores than ungulates, and 2 species more rodents that carnivores. How many ungulates live in the forest?

1 Answer
May 30, 2017

Answer:

Number of ungulates is 8.

Explanation:

C is for carnivores, U is for ungulates, and R is for rodents.

For carnivores: #C=7+U# can be written
For rodents: #R=2+C# can be written.
For rodents, instead of C, you can write the first equation (7+U) yielding
For rodents: #R=2+7+U#

Now you have 3 components for your equation, each component contains U term.

Your final equation is

#40=(7+U) + U + (2+7+U)#

#40= 16 + 3U#

#40-16 = 3U#

#24 = 3U#

#8 = U#

Number of ungulates is 8.

That is your answer. Number of ungulates is 8.