A restaurant owner wants his new dining room to seat 80 people. He want the room to have 15 tables, consisting a mix of 4-person and 8-person tables. What ratio of 4-person and 8-person tables would meet the requirements of this owner?
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Answer:Let x = table with 4 seats
Let y = table with 5 seats
x + y = total tables = 19
4x + 5y = total seats = 84
4x + 5y = 84
x + y = 19
Multiply the bottom equation by 4
4x + 4y = 76
Subtract this equation from the first one you get
y = 8
Step-by-step explanation:
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