Question

Explain how to solve this, step by step?

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. Calculate the cost of the chair, the table, and the lamp.

Answer 1

Answer:

The cost of  chair is $\ 260$

The cost of  a lamp is $\ 65$

The cost of  a table is $\ 237$

Step-by-step explanation:

Let

x----> the cost of  chair

y----> the cost of  lamp

z----> the cost of table

we know that

$x+y+z=562$ ----> equation A

$x=4y$ -----> $y=x/4$ -----> equation B

$z=x-23$ ------> equation C

substitute equation C and equation B in equation A and solve for x

$x+(x/4)+(x-23)=562$

$(9/4)x=562+23$

$(9/4)x=585$

$x=585*4/9=\ 260$

Find the value of y

$y=260/4=\ 65$

Find the value of z

$z=260-23=\ 237$

therefore

The cost of  chair is $\ 260$

The cost of  a lamp is $\ 65$

The cost of  a table is $\ 237$