Question

1. the local piggly wiggly grocer is having a 14% discount sale on ground beef. the price of ground beef is now $2.98/lb. how much did it cost before the discount sale?
2. circuit depot is having a going out of business sale. all items are 80% off. if a computer now costs $170, how much did it cost before the sale?
3. kevin purchases a pair of pants on sale for 20% off. if the sales price of the pants is $28.99, what is the original price?

Explanation:

Step1: Define original price variable

Let $x$ = original price for each item.

Step2: Calculate discounted percentage

For problem 2: Discount = 14%, so paid % = $100\% - 14\% = 86\% = 0.86$
Set up equation: $0.86x = 2.98$
Solve for $x$: $x = \frac{2.98}{0.86}$

Step3: Compute problem 2 result

$x = \frac{2.98}{0.86} \approx 3.47$

Step4: Problem3 discounted percentage

Discount = 80%, so paid % = $100\% - 80\% = 20\% = 0.2$
Set up equation: $0.2x = 170$
Solve for $x$: $x = \frac{170}{0.2}$

Step5: Compute problem3 result

$x = \frac{170}{0.2} = 850$

Step6: Problem4 discounted percentage

Discount = 20%, so paid % = $100\% - 20\% = 80\% = 0.8$
Set up equation: $0.8x = 28.99$
Solve for $x$: $x = \frac{28.99}{0.8}$

Step7: Compute problem4 result

$x = \frac{28.99}{0.8} \approx 36.24$

Answer:

1. The original price of ground beef is approximately $\$3.47$/lb
2. The original price of the computer is $\$850$
3. The original price of the pants is approximately $\$36.24$