Question

An animal park has lions, tigers and zebras. 20% of the animals are lions and half of the animals are zebras. If there are 120 animals at the park, how many tigers are there

Answer 1

`36\ tigers`

Explanation:

Let

x ----> the number of lions

y ----> the number f tigers

z ----> the number of zebras

we know that

`x+y+z=120` ----> equation A

Remember that

`20\%=20/100=0.20`

`50\%=50/100=0.50`

To find out the number of lions, multiply the total animals by the percentage of lions

`x=0.20(120)=24\ lions`

To find out the number of zebras, multiply the total animals by the percentage of zebras

`z=0.50(120)=60\ zebras`

Substitute the value of x and the value of z in equation A and solve for y

`24+y+60=120`

`y+84=120`

`y=36\ tigers`