Problema Solution

there are 15 tables in a snack bar. Some tables can seat 4 people. if a maximum of 76 people can be seated in the snack bar, how many 6 people tables does the snack bar have?

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Answer provided by our tutors

let


x = the number of 4 people tables

y = the number of 6 people tables


there are 15 tables in a snack bar


x + y = 15


a maximum of 76 people can be seated in the snack bar


4x + 6y = 76


by solving the system of equations


x + y = 15

4x + 6y = 76


we find


x = 7 tables


y = 8 tables


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the snack bar has 8 six people tables.