there were 24 people, teachers and students, in the Christmas play. there were three times as many students as teachers. which system of equations could be used to find the number of teachers,t, and the number of students,s, in the play?
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OpenStudy (anonymous):
its writing systems of equations
OpenStudy (aaronandyson):
what are you're options?
OpenStudy (anonymous):
there is none
OpenStudy (anonymous):
is this your first time on openstudy?
OpenStudy (anonymous):
yea
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OpenStudy (anonymous):
welcome to openstudy then :)
OpenStudy (aaronandyson):
Are you given any options to the question? @chloelynn_
OpenStudy (anonymous):
no, its just a solve by yourself question
OpenStudy (anonymous):
you can do this without a system of equations
OpenStudy (anonymous):
you can do it with one too if you like
say S is students, T is teachers, then since the total is 24 you can say \[S+T=24\]
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OpenStudy (anonymous):
then three times as many students as teachers means
\[3T=S\]
OpenStudy (anonymous):
so u do matrix?
OpenStudy (anonymous):
oh no
OpenStudy (anonymous):
\[S+T=24\\
3T=S\] plug the scone in to the first and get
\[S+3S=24\] or
\[4S=24\]