Question

A table costs $50 more than a chair. The cost of 6 chairs and 1 table is $750. The equation 6x + x + 50 = 750, where x is the cost of one chair, represents this situation. Plug in the values from the set {50, 100, 150} to find the correct value of x.

The value of x that makes the equation true is(50,100,or 150) So, the cost of a chair is($50,$100,or $150)
and the cost of a table is ($50,$100,or $150)

Please tell me the three answers. The options are all listed above for the value of x, the cost of a chair, and the cost of a table.

Answer 1

the answer would be

100

100

50

Answer 2

The equation representing the cost of 6 chairs and a table is:

6x + x + 50 = 750

⇒
7x = 700

This equation is true for x = 100 because:

7(100) = 700

So, the cost of one chair will be $100.

Cost of table is $50 more than a chair, so the cost of one table is $150.

So the answers are:
$ 100
$ 100
$ 150