contestada

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

Respuesta :

calculista

Answer:

[tex]36\ tigers[/tex]

Step-by-step explanation:

Let

x ----> the number of lions

y ----> the number f tigers

z ----> the number of zebras

we know that

[tex]x+y+z=120[/tex] ----> equation A

Remember that

[tex]20\%=20/100=0.20[/tex]

[tex]50\%=50/100=0.50[/tex]

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

[tex]x=0.20(120)=24\ lions[/tex]

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

[tex]z=0.50(120)=60\ zebras[/tex]

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

[tex]24+y+60=120[/tex]

[tex]y+84=120[/tex]

[tex]y=36\ tigers[/tex]

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