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.

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absor201 absor201 · Answer 1 · 2021-01-13T14:07:00+01:00

Answer:

Cost of table is $237

Step-by-step 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:

[tex]x+4x+4x-23=562[/tex]

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

[tex]x+4x+4x-23=562\\9x=562+23\\9x=585\\x=\frac{585}{9}\\x=65[/tex]

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