Question

Together a chair, a table, and a lamp cost $562. The chair costs 4 times as much as the lamp, and the table costs $23 less than the chair. Find the cost of the table.​

Answer 1

Cost of table is $237

Explanation:

Cost of chair, table and lamp = $562

Cost of lamp = x

Cost of chair = 4x (The chair costs 4 times as much as the lamp)

Cost of table = 4x-23 (the table costs $23 less than the chair.)

We need to find the cost of table.

We know that:

Cost of chair, table and lamp = $562

We can write:

`x+4x+4x-23=562`

First, we need to find value of x by solving the equation.

`x+4x+4x-23=562\\9x=562+23\\9x=585\\x=(585)/(9)\\x=65`

So, we get x = 65

Now, we can find cost of table:

We are given:

Cost of table = 4x-23

Cost of table = 4(65)- 23 = 237

So, Cost of table is $237