Mathematics: Three siblings sarah, dave, and kate - committed themselves to volunteer 155 hours for a homeless charity to build new housing. kate worked 10 hours more than sarah. dave worked 20 hours fewer than sarah. how many hours did each of these siblings volunteer?

Three siblings sarah, dave, and kate - committed themselves

Ответ:

jujurae03

30.12.2021

Kate worked 10 hours more than Sarah. Dave worked 20 hours fewer than Sarah.
A total of 155 hours worked.
x --> Sarah
y --> Dave
z --> Kate

$\begin{cases}x+y+z=155\\z=x+10\\y=x-20\end{cases}$
$\begin{cases}x+x-20+x+10=155\\z=x+10\\y=x-20\end{cases}$
$\begin{cases}3x=165|:3\\z=x+10\\y=x-20\end{cases}$
$\begin{cases}x=55\\z=55+10\\y=55-20\end{cases}$
$\begin{cases}x=55\\z=65\\y=35\end{cases}$

Now we see that Kate worked 65 hours, Dave worked 35 hours, and Sarah worked 55 hours.

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Ответ:

sofietyeweirdo

27.02.2021

Mathematics

X=6 since DF bisects it you know that 5x+24 is = to 9x so then you subtract 5x from 9x and get 4x=24 then divide 24 by 4 and get the value of x.

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Three siblings sarah, dave, and kate - committed themselves to volunteer 155 hours for a homeless charity to build new housing. kate worked 10 hours more than sarah. dave worked 20 hours fewer than sarah. how many hours did each of these siblings volunteer?

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