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3 years ago

Explain how to solve this, step by step?

Mathematics

1 answer:

andrey2020 [161]3 years ago

7 0

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 $\$237$

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