In a zoo the ratio of giraffes to apes is 6 to 5 and the ratio of apes to zebras is 4 to 1. What is the minimum number of zebras the zoo could have? Please answer asap

Respuesta :

Answer:

5 Zebras

Step-by-step explanation:

In the zoo, the ratio of Giraffes to Apes is 6 : 5  

So, for 1 Ape there are [tex]\frac{6}{5}[/tex] Giraffes in the zoo.

Again, the ratio of Apes to Zebras in the zoo is 4 : 1.

So, for 1 Ape there are [tex]\frac{1}{4}[/tex] Zebras in the zoo.

Hence, the ratio of Giraffes to Apes to Zebras in the zoo is [tex]\frac{6}{5} : 1 : \frac{1}{4}[/tex]

Since, there are animals in whole number but not in fraction in the zoo, so the ratio in whole numbers is

[tex]\frac{6}{5} \times 20 : 1 \times 20 : \frac{1}{4} \times 20[/tex]

= 24 : 20 : 5  

which is the most simplified whole number ratio of number of Giraffes, Apes and Zebras.

Therefore, there will be a minimum of 5 Zebras in the zoo. (Answer)

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