Augustine,Mateo,and Amaro are trading baseball cards.Augustin has 1/4 as many cards as Mateo.Mateo has 1/2 as many cards as Amaro.Who has the most cards?

Respuesta :

Augustine has 1/4 as many as Mateo....so Mateo has more then Augustine
Mateo has 1/2 as many as Amaro....so Amaro has more then Mateo

who has the most.....thts gonna be Amaro



Answer:

Amaro has the most number of cards with him.

Step-by-step explanation:

Let Amaro has x cards

[tex]\text{Now, Mateo has }\frac{1}{2}\text{ as many cards as Amaro}\\\\\implies \text{Mateo has }\frac{1}{2}\times x = \frac{x}{2} \text{ cards}\\\\\text{Also, Augustin has }\frac{1}{4}\text{ as many cards as Mateo}\\\\\implies \text{Augustin has }\frac{1}{4}\times \frac{x}{2}=\frac{x}{8}\text{ cards}\\\\\text{Therefore, Amaro has x cards, Mateo has }\frac{x}{2}\text{ cards and Augustin has }\frac{x}{8}\text{ cards}[/tex]

Since, x is the number of cards so cannot  be negative quantity.

[tex]\implies x >\frac{x}{2}>\frac{x}{8}[/tex]

Hence, Amaro has the most number of cards with him.