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At a certain restarurant, there are 25 tables and each table has either 2 or 4 chairs. If there is a total of 86 chairs accompanying the 25 tables, how many tables have exactly 4 chairs?
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At a certain restarurant, there are 25 tables and each table has eithe...
Analysis:
To solve this problem, we can set up a system of equations based on the information given. Let:
- x be the number of tables with 2 chairs.
- y be the number of tables with 4 chairs.
We know there are 25 tables in total, so we have the equation:
x + y = 25
We also know that there is a total of 86 chairs, with each table having either 2 or 4 chairs. Therefore, we have the equation:
2x + 4y = 86

Solving the Equations:
From the first equation, we can express x in terms of y:
x = 25 - y
Substitute this into the second equation:
2(25 - y) + 4y = 86
50 - 2y + 4y = 86
2y = 36
y = 18
Now that we have found the number of tables with 4 chairs, we can find the number of tables with 2 chairs:
x = 25 - y
x = 25 - 18
x = 7
Therefore, there are 18 tables with exactly 4 chairs and 7 tables with exactly 2 chairs in the restaurant.
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At a certain restarurant, there are 25 tables and each table has either 2 or 4 chairs. If there is a total of 86 chairs accompanying the 25 tables, how many tables have exactly 4 chairs?
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