Question

A pet store has 80 geckos and anole lizards altogether.

The ratio of geckos to anole lizards is 3:5.

How many geckos does the pet store have?


What fraction of the reptiles are geckos?

How many geckos does the pet store have?
geckos

Answer 1

30 geckos
3/8

The total number in the ratio is 8. 80 / 8 = 10. So each in the ratio 1 is equal to 10 animals. There are 30 geckos, and 50 lizards. 30 out of 80 of the reptiles are geckos. Simply 30/80 to get 3/8.

Answer 2

30 geckos

fraction:
`(3)/(8)`

Explanation:

Let the numbers of geckos be x, the numbers of anole lizards be y

`x:y=3:5`

⇒
`5x=3y \left \{ {{a:b=cd}` →
`ad=bc`

`x+y=80`

`3x+3y=80*3`

`3x+3y=240`

`3x+5x=240`

`8x=240`

`(8x)/(8)=(240)/(8)`

`x=30`

`(30)/(80)=(3)/(8)`

I hope this helps you

:)