Question

find the original price

1. david bought a pair of shoes for $56.00. the shoes were on sale at a 30%

discount. how much did the shoes cost before the discount?
$

1. pizza shack is having a weekend sale. all pizzas are 13% off. if a large two - topping

pizzs costs $13.50 this weekend, what is the original price?
$

1. lauri purchases a book on sale for $12.39 at a 40% discount. what was the

original price of the book?
$

1. aldi is having a 20% discount on vegetables. broccoli is now $2.98/lb. how

much did it cost before the discount?
$

Explanation:

Question 6

Step1: Understand the discount formula

Let the original price be \( x \). The sale price is the original price minus the discount. The discount is \( 30\% \) of \( x \), so the sale price is \( x - 0.3x = 0.7x \).

Step2: Solve for original price

We know the sale price is \( \$56 \), so \( 0.7x = 56 \). To find \( x \), we divide both sides by \( 0.7 \): \( x=\frac{56}{0.7} \)

Step3: Calculate the value

\( \frac{56}{0.7} = 80 \)

Step1: Define the original price

Let the original price be \( x \). The discount is \( 13\% \), so the sale price is \( x - 0.13x = 0.87x \).

Step2: Set up the equation

The sale price is \( \$13.50 \), so \( 0.87x = 13.50 \). Solve for \( x \) by dividing both sides by \( 0.87 \): \( x=\frac{13.50}{0.87} \)

Step3: Compute the result

\( \frac{13.50}{0.87}\approx15.52 \) (rounded to two decimal places)

Step1: Relate sale price to original price

Let the original price be \( x \). A \( 40\% \) discount means the sale price is \( x - 0.4x = 0.6x \).

Step2: Solve for \( x \)

The sale price is \( \$12.39 \), so \( 0.6x = 12.39 \). Divide both sides by \( 0.6 \): \( x=\frac{12.39}{0.6} \)

Step3: Calculate the value

\( \frac{12.39}{0.6}=20.65 \)

Answer:

\( \$80 \)

Question 7