Question

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 1/4 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.

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

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

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

Answer 1

1. The cost of labor is 30% of the flooring bill. 2. Charlotte spent approximately $1,620.09 on furniture. 3. The nightstand cost represents 25% of the total furniture cost.

Step-by-step explanation:

1. To find the percent of the flooring bill that goes towards the cost of labor, divide the cost of labor by the total cost of the flooring and multiply by 100. So, the percent is (212.52 / (427.35 + 212.52 + 75)) * 100 = 30%.

2. Let's assume the cost of flooring is x. If Charlotte spent 25% more on furniture than on flooring, then the cost of furniture would be 1.25x. Given that the cost of furniture represented 1/4 of the total amount Charlotte spent on furniture, we can set up the equation 1.25x = (1/4)(x + 427.35 + 212.52 + 75 + 558.49). Solving this equation, we find that x ≈ $1,620.09. Therefore, Charlotte spent approximately $1,620.09 on furniture.

3. To find the percent of the total furniture cost spent on the nightstand, divide the cost of the nightstand by the total cost of the furniture and multiply by 100. So, the percent is (1/4) * 100 = 25%.

Answer 2

a. 30%

b. $893.59

c.

Answer:

a. 30%

b. $893.59

c.

Step-by-step explanation:

a. Given that the carpet costs $427.35, the labor costs $212.52 and other flooring supplies costs $75.

#To get the percent of the flooring bill that will go towards the cost of labor:

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

b.The total flooring costs is :

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

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;

The percentage is then calculated as:

Hnece the percentage cost of the night stand is

a. Given that the carpet costs $427.35, the labor costs $212.52 and other flooring supplies costs $75.

#To get the percent of the flooring bill that will go towards the cost of labor:

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

b.The total flooring costs is :

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

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;

The percentage is then calculated as:

Hnece the percentage cost of the night stand is