Answer:
If 9 chairs were sold, the store must sell 11 tables in order to meet the requirements.
Step-by-step explanation:
Selling price of each table = $50
Selling price of each table = $550
Let the number of chairs sold in a a day = x
Let Number of tables old in a a day = y
Hence, the selling price of x chairs = x times $50 = 50 x
and the selling price of y tables = y times $550 = 550 y
Maximum number of pieces that can be shipped = 20
⇒ x + y ≤ 20
Also, The total selling amount should at least be $5,000
⇒ 50 x + 550 y ≥ 5,000
Hence, the given system of equation is:
x + y ≤ 20
50 x + 550 y ≥ 5,000
Solving the given system:
put y = 20 - x from (1) in the equation (2), we get
50 x + 550 y = 5,000 ⇒ 50x + 550(20 -x) = 5000
or, 50x + 11,000 - 550x = 5000
or, -500x = -6000
x = 12
or the number of chairs sold at maximum = 12
also, y = 20- x = 20 - 12 = 8
So, number of tables sold at maximum = 8
Now, if the number of chairs sold = 9,
then the number of tables sold = 20 - 9 = 11
The selling amount is 50(9) + 550(11) = $6,500 > $5,000
Hence, 9 chairs were sold, the store must sell 11 tables in order to meet the requirements.
