Question

3. The ratio of lynx to mountain lions and wolverines in the park is 2:3:1. So for every 2 lynx, there are 3 mountain lions and 1 wolverine.

a. If there were 6 lynx, how many wolverine would be in the park?



b. If there were 15 mountain lion, how many lynx would be in the park?







c. If there were 10 wolverine in the park, how many mountain lions?



d. If the total number of lynx, mountain lions and wolverine was 30, how many of each animal would there be in the park?



lynx, mountain lion, wolverine



​

Answer 1

The given ratio :

→ Lynx : Mt. lions : Wolverines = 2 : 3 : 1

The no. of animals are (assuming) :

➪ Lynx = $2x$

➪ Mountain lions = $3x$

➪ Wolverines = $x$

________________________________

Question (a) :

Number of lynx = 6 (given)

So,

$\implies 2x = 6$

$\implies x = \dfrac{6}{2}$

$\implies x = {\bf{\green{3}}}$

________________________________

Question (b) :

No. of Mt. lions = 15 (given)

So,

$\implies 3x = 15$

$\implies x = \dfrac{15}{3}$

$\implies x = {\bf{\green{5}}}$

Number of lynx will be :

$\therefore 2x = 2(5) = {\bf{\green{10}}}$

________________________________

Question (c) :

Number of Wolverines = 10 (given)

So,

$\implies x = 10$

∴ Number of Mt. lions will be :

$\therefore 2x = 2(10) = {\bf{\green{20}}}$

________________________________

Question (d) :

Total number of animals = 30 (given)

According to the question :

$\implies 2x + 3x + x = 30$

$\implies 6x = 30$

$\implies x = \dfrac{30}{6}$

$\implies x = 5$

∴ Number of each animals will be :

➪ Lynx = $2x = 2(5) = {\bf{\green{10}}}$

➪ Mt. Lions = $3x = 3(5) = {\bf{\green{15}}}$

➪ Wolverine = $x = {\bf{\green{5}}}$