Are the two statements equivalent? Explain your reasoning. The ratio of boys to girls is 2 to 3. The ratio of girls to boys is 3 to 2.

yes; The number of boys and girls is the same in each statement.
yes; The ratio can be written as 2:3.
no; The numbers of boys and girls differ from one statement to the next.
no; Although the relative number of boys and girls are the same, the two ratios are inverses.

Respuesta :

yes. it is the same. why? because no matter what way you put ratios, they will be equivalent. brainliest answer?

A ratio is defined as  an ordered pair of numbers a and b, written a / b where b does not equal 0.

yes; The number of boys and girls is the same in each statement.

The ratio of boys to girls is 2 to 3.

so that,       [tex]\frac{boys}{girls}=\frac{2}{3}[/tex]

It means that , if in any class there are 5 students then 2 will be boys and 3 will be girls.

The ratio of girls to boys is 3 to 2.

so that,    [tex]\frac{girls}{boys}=\frac{3}{2}[/tex]

this means also that  , if in any class there are 5 students then 2 will be boys and 3 will be girls.

Therefore, both statements are equivalent.

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