Math Problem Statement
In a restaurant there are 24 square tables with 4 seats each, which can be arranged individually or combined to form a 6-seater table. If you form the same number of 4-seater and 6-seater tables, how many seats do you get? (A) 84 (B) 80 (C) 92 (D) 72 (E) 76
Solution
Let's solve the problem step by step.
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Number of Tables:
We have a total of 24 square tables. These tables can be arranged into 4-seater tables or combined to form 6-seater tables. -
Equal Number of 4-Seater and 6-Seater Tables:
Let the number of 4-seater tables be .
Since the number of 6-seater tables is also the same, the number of 6-seater tables is . -
Total Number of Tables:
The total number of tables is the sum of 4-seater and 6-seater tables: But the total number of tables is given as 24: So, there are 12 tables arranged as 4-seater tables and 12 tables arranged as 6-seater tables. -
Number of Seats:
- The 12 tables that are 4-seater provide seats.
- The 12 tables that are 6-seater provide seats.
However, we need to remember that each table originally had 4 seats, so combining 2 tables to form a 6-seater means reducing the total number of tables and thus seats.
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Adjusting for Combination:
- For each 6-seater table formed, 2 tables are used. So, for 12 six-seater tables, tables are required.
- Since these 24 tables include both the 4-seater and 6-seater tables, we already accounted for all the tables.
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Total Seats:
- For the 4-seater tables: seats.
- For the 6-seater tables: seats.
However, since each 6-seater table uses 2 tables but provides only 6 seats, the correct total is:
Final Answer:
So the correct answer is (B) 80.
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Math Problem Analysis
Mathematical Concepts
Arithmetic
Algebra
Problem Solving
Formulas
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Theorems
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Suitable Grade Level
Grades 7-9
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