Charlotte is redecorating the master bedroom in her house. She has already purchased a new bedroom set and also plans to paint the room and put in new flooring. The new bedroom set she purchased includes a queen-sized bed, one nightstand, and a dresser. The bed cost $558.49, and the cost of the dresser represented of the total amount Charlotte spent on furniture.

For the flooring, Charlotte has decided to put new carpet in the bedroom. She has calculated that the carpet itself will cost $427.35, and the labor to install the carpet will cost $212.52. There is also a $75 fee covering the cost of other flooring supplies, tools, and materials.

Question 1. What percent of the flooring bill will go towards the cost of labor? Round your answer to the nearest percent.

Question 2. If Charlotte spent 25% more on furniture than she will on flooring, how much did she spend on furniture?

Question 3.What percent of the total furniture cost did Charlotte spend on the nightstand? Round your answer to the nearest percent.

[tex]\% labor\ cost=\frac{labor \ cost}{Total \ flooring \ cost}\times 100\%\\\\=\frac{212.52}{427.35+212.52+75}\times 100\%\\\\=\frac{212.52}{714.87}\times 100\%\\\\=29.73\%\approx30\%[/tex]

Hence, labor costs 30% of the total flooring costs.

b.The total flooring costs is :

[tex]F_c=212.52+427.35+75\\\\=714.87[/tex]

Given that she spends 25% more on furniture than on flooring, we multiply the flooring cost by 125% to get the furniture costs:

[tex]Furniture \ Cost= Flooring \ C\ost \times 125%\\\\=714.87\times 1.25\\\\=893.59[/tex]

Hence, she spends $893.59 on furniture.

c.To get what percentage of furniture cost was the night stand.

-Given the total furniture cost is $893.59:

Let x be the cost of the dresser and y the cost of the nightstand;

[tex]x+y=Furniture\ cost -Bed \ cost\\\\x+y=893.59-558.49=351.1\\\\y=351.1-x[/tex]

The percentage is then calculated as:

[tex]\% cost \ of \ nightstand=\frac{cost \ of \ nighstand}{Furniture \ Cost}\times 100\%\\\\=\frac{351.10-x}{893.59}\times 100\%\\\\=\frac{(351.10-x)}{893.59}\times 100\%[/tex]

Hnece the percentage cost of the night stand is [tex]\frac{(351.10-x)}{893.59}\times 100\%[/tex]