Josh made a collage using magazine cut-outs and cut-outs from comic books. He used a total of 58 magazine cut-outs and 28 cut-outs from comic books. Which ratio is equal to the ratio of magazine and comic-book cut-outs that Josh used? A. 21 : 7 B. 29 : 14 C. 30 : 58 D. 9 : 3

Respuesta :

Answer:

B. 29 : 14

Step-by-step explanation:

A ratio is a comparison of two quantities, typically expressed in the form of a fraction with one quantity divided by the other.

Josh used a total of 58 magazine cut-outs and 28 cut-outs from comic books. Therefore, the ratio of magazine cut-outs to comic-book cut-outs is:

[tex]58 : 28[/tex]

To simplify the ratio, we divide both numbers by their greatest common factor, which in this case is 2:

[tex]\dfrac{58}{2}:\dfrac{28}{2}\\\\\\29:14[/tex]

So, the simplified ratio that is equal to the ratio of magazine and comic-book cut-outs that Josh used is:

[tex]\LARGE\boxed{\boxed{29:14}}[/tex]