Question

a 7 - piece queen - size comforter set is on clearance for $79.99 at kohls. the clearance price represents a decrease of 60% from the original price. what was the original price of the comforter set?
a $47.99
b $127.98
c $133.32
d $199.98
question 4
according to the bureau of labor statistics, the unemployment rate in may 2009 was 9.4%. ten years later, the unemployment rate in may 2019 was 3.6%. what percent decrease does this represent? round to the nearest tenth of percent.
a 38.3%

Explanation:

Step1: Set up the equation for the first problem

Let the original price be $x$. The clearance price is $x(1 - 0.60)$. We know the clearance price is $79.99$, so $x(1 - 0.60)=79.99$.

Step2: Solve for $x$

$x=\frac{79.99}{1 - 0.60}=\frac{79.99}{0.40}=199.975\approx199.98$

Step3: Set up the equation for the second problem

The formula for percent - decrease is $\text{Percent Decrease}=\frac{\text{Original}-\text{New}}{\text{Original}}\times100\%$. The original unemployment rate is $9.4\%$ and the new one is $3.6\%$. So $\text{Percent Decrease}=\frac{9.4 - 3.6}{9.4}\times100\%$.

Step4: Calculate the percent - decrease

$\frac{9.4 - 3.6}{9.4}\times100\%=\frac{5.8}{9.4}\times100\%\approx0.617\times100\% = 61.7\%$

Answer:

For the first question: D. $199.98$
For the second question: (None of the provided options are correct, the correct answer is approximately $61.7\%$)