Rachel is rachel is 1.5 time as heavy as her cousin Kayla another cousin Jonathan weights 1.25 times as much as Kayla list The cousins from lightest to heaviest and explain your thinking

Rachel is rachel is 15 time as heavy as her cousin Kayla another cousin Jonathan weights 125 times as much as Kayla list The cousins from lightest to heaviest a class=

Respuesta :

Rachel is the heaviest and Kayla is the lightest because 1.5 is greater then 1.25.

Kayla < Jonathan < Rachel

Further explanation

Given:

Rachel is 1.5 times as heavy as her cousin, Kayla.

Another cousin, Jonathan, weights 1.25 times as much as Kayla.

Question:

List the cousins, from lightest to heaviest, and explain your thinking.

The Process:

From the information above, we made a suitable diagram as follows:

[tex]Rachel: \boxed{ \ \ \ \ \ }\boxed{ \ \ } \rightarrow 1.5 \ parts[/tex]

[tex]Kayla: \boxed{ \ \ \ \ \ } \rightarrow 1 \ part[/tex]

[tex]Jonathan: \boxed{ \ \ \ \ \ }\boxed{} \rightarrow 1.25 \ parts[/tex]

We can conclude the following:

  • The diagram clearly shows that Kayla is the lightest.
  • Rachel and Jonathan are both slightly more than one time the weight of Kayla.
  • Referring to Kayla's weight, Rachel is heavier than Jonathan because 1.5 is slightly greater than 1.25 [tex]\boxed{ \ 1.5 > 1.25 \ }[/tex].

Thus, the list of cousins from lightest to heaviest is

  1. [tex]\boxed{ \ Kayla \ }[/tex]
  2. [tex]\boxed{ \ Jonathan \ }[/tex]
  3. [tex]\boxed{ \ Rachel \ }[/tex]

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