zflores259
contestada

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

Respuesta :

emmyz
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:

30 geckos

fraction: [tex]\frac{3}{8}[/tex]

Step-by-step explanation:

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

[tex]x:y=3:5[/tex]

⇒ [tex]5x=3y \left \{ {{a:b=cd}[/tex] → [tex]ad=bc[/tex]

[tex]x+y=80[/tex]

[tex]3x+3y=80\times3[/tex]

[tex]3x+3y=240[/tex]

[tex]3x+5x=240[/tex]

[tex]8x=240[/tex]

[tex]\frac{8x}{8}=\frac{240}{8}[/tex]

[tex]x=30[/tex]

[tex]\frac{30}{80}=\frac{3}{8}[/tex]

I hope this helps you

:)