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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

Answer :

x- benches, y-students 

[tex]y=3x+18\\x-3=\frac{y}{4}[/tex]


[tex]x=\frac{y}{4}+3 \\ \\y=3(\frac{y}{4}+3)+18 \\ \\y= \frac{3y}{4} +9+18 \\ \\4y=3y+36+72 \\y=108 \\ \\x= \frac{108}{4} +3=27+3=30[/tex]


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