Question

There are 12 girls and 16 boys in javier's math class.There are 26 girls and 14 boys in javier's choir class.Is the ratio of girls to boys in the two classes equivalent? Explain

Answer 1

These ratios are not equivalent because if you calculate it, they do not start from the same simplified ratio. 12/16 is 3/4 and  26/14 is 13/7 and those two ratios are not equivalent. I hope this helped you

Answer 2

Not equivalent

Explanation:

A fraction is a part of whole .

Two fractions are said to be equivalent if their lowest forms are same .'A fraction
`(a)/(b)` is said to be in lowest form if
`HCF(a,b)=1`.

Given :

Number of girls = 12

Number of boys = 16

So, fraction =
`(Number\,\, of\,\, girls)/(Number\,\, of\,\, boys)`

=
`(12)/(16)=(2* 2* 3)/(2* 2* 2* 2)=(3)/(4)`

Number of girls = 26

Number of boys = 14

So, fraction =
`(Number\,\, of\,\, girls)/(Number\,\, of\,\, boys)=(26)/(14)=(2* 13)/(2* 7)=(13)/(7)`

As
`(3)/(4)\\eq (13)/(7)` , these fractions are not equivalent .