Respuesta :

Answer:

6:1 and 12:2. cuz if u multiply each, you will eventually get 24:4

Step-by-step explanation:

If the result of the two ratios are same, then they are said to be equivalent ratio.

The ratio which is equivalent to the given ratio are 6:1 and 12:2. Thus the option A and C is the correct option.

What is equivalent ratio?

Equivalent ratio is the ratio which is same in the value as the original ratio but the numerator and denominator is different for both the ratios.

Given information-

The ratio given in the problem is,

[tex]24:4[/tex]

Let r is the ratio, then it can be written as,

[tex]r=\dfrac{24}{4}\\[/tex]

Simplify it,

[tex]r=\dfrac{6}{1}[/tex]

[tex]r=6:1[/tex]

Check all the options which is equivalent to the ratio 6:1.

  • A) The ratio given in the option A is

[tex]6:1[/tex]

Which is equal tot he given ratio. Thus the option A is correct option.

  • B) The ratio given in the option B is

[tex]8:4[/tex]

Let r is the ratio, then it can be written as,

[tex]r=\dfrac{8}{4}\\[/tex]

Simplify it,

[tex]r=\dfrac{2}{1}[/tex]

[tex]r=2:1[/tex]

Which is not equal to the given ratio. Thus the option B is incorrect option.

  • C)The ratio given in the option C is

[tex]12:2[/tex]

Let r is the ratio, then it can be written as,

[tex]r=\dfrac{12}{2}\\[/tex]

Simplify it,

[tex]r=\dfrac{6}{1}[/tex]

[tex]r=6:1[/tex]

Which is equal to the given ratio. Thus the option C is correct option.

  • D) The ratio given in the option D is

[tex]15:3[/tex]

Let r is the ratio, then it can be written as,

[tex]r=\dfrac{15}{3}\\[/tex]

Simplify it,

[tex]r=\dfrac{5}{1}[/tex]

[tex]r=5:1[/tex]

Which is not equal to the given ratio. Thus the option D incorrect option.

Hence the ratio which is equivalent to the given ratio are 6:1 and 12:2. Thus the option A and C is the correct option.

Learn more about the equivalent ratio here;

https://brainly.com/question/2914376