Matt71
There are x benches and y students in an auditorium. When a bench is seated with 3 students, 18 are left standing. If a bench is seated with 4 students, 3 benches would be empty.
a. Write 2 equations showing the relationship between x benches and y students
b. Find the number of benches and students
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MarinaDL
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x- benches, y-students
y=3x+18
x-3=y/4
Matt71
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Thanks, what about b?
MarinaDL
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you need to try to solve it by yourself :-) I will help you if you will need it.
Matt71
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Well alright, no prob there, thanks for the help again
MarinaDL
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you are welcome. Do you understand it?
Matt71
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Kind of, think I could figure it out by myself though
MarinaDL
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y=3x+18
y=4(x-3) right parts are equal and you can find x
Matt71
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Yep, I get it
MarinaDL
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answer is?
Matt71
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one sec
Matt71
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x=30 right?
MarinaDL
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yes
Matt71
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so y=108
MarinaDL
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yes, you are right. With system of equations always good to do check for both equations.
Matt71
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Sweet
MarinaDL
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glad to help
miteshchvm
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x- benches,
y-students
y=3x+18 x-3=y/4
y=3x+18 y=4(x-3)
x = 30
y = 108