At Westonci.ca, we provide reliable answers to your questions from a community of experts. Start exploring today! Our Q&A platform provides quick and trustworthy answers to your questions from experienced professionals in different areas of expertise. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.
Sagot :
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
[tex]\begin{cases}x+y+z=155\\z=x+10\\y=x-20\end{cases}[/tex]
[tex]\begin{cases}x+x-20+x+10=155\\z=x+10\\y=x-20\end{cases}[/tex]
[tex]\begin{cases}3x=165|:3\\z=x+10\\y=x-20\end{cases}[/tex]
[tex]\begin{cases}x=55\\z=55+10\\y=55-20\end{cases}[/tex]
[tex]\begin{cases}x=55\\z=65\\y=35\end{cases}[/tex]
Now we see that Kate worked 65 hours, Dave worked 35 hours, and Sarah worked 55 hours.
A total of 155 hours worked.
x --> Sarah
y --> Dave
z --> Kate
[tex]\begin{cases}x+y+z=155\\z=x+10\\y=x-20\end{cases}[/tex]
[tex]\begin{cases}x+x-20+x+10=155\\z=x+10\\y=x-20\end{cases}[/tex]
[tex]\begin{cases}3x=165|:3\\z=x+10\\y=x-20\end{cases}[/tex]
[tex]\begin{cases}x=55\\z=55+10\\y=55-20\end{cases}[/tex]
[tex]\begin{cases}x=55\\z=65\\y=35\end{cases}[/tex]
Now we see that Kate worked 65 hours, Dave worked 35 hours, and Sarah worked 55 hours.
S+D+K=155
K=S+10
D=S-20
--------------------------------
S+(S-20)+(S+10)=155
S+S-20+S+10=155
3S-10=155
3S=165
S=165/3=55
---------------------------------
If S=55,
K=55+10=65
D=55-20=35
---------------------------------
Therefore, Sarah had worked for 55 hours, Kate had worked for 65 hours and Dave had worked for 35 hours.
K=S+10
D=S-20
--------------------------------
S+(S-20)+(S+10)=155
S+S-20+S+10=155
3S-10=155
3S=165
S=165/3=55
---------------------------------
If S=55,
K=55+10=65
D=55-20=35
---------------------------------
Therefore, Sarah had worked for 55 hours, Kate had worked for 65 hours and Dave had worked for 35 hours.
Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.