Question

3. At the zoo, the ratio of the number of giraffes : lions : penguins is 3:5:11

The total number of legs that these animals have all together is 108.
How many lions are there at the zoo?

Answer 1

Ratio of Giraffes : Lions : Penguins = 3 : 5 : 11

Giraffes = 3x

Lions = 5x

Penguins = 11x

Giraffes = 4 legs

Lions = 4 legs

Penguins = 2 legs

4(3x) + 4(5x) + 2(11x) = 108

12x + 20x + 22x = 108

54x = 108

x = 108 ÷ 54 = 2

Number of lions = 5x = 5(2) = 10

Answer: 10 lions

Answer 2

6 lions

Explanation:

l:g:p= 3:5:11 ratio

4(3x+5x)+2*11x= 108 legs

32x+22x= 108

54x= 108

x= 2

Lions= 2*3= 6