Question

Shane bought a pair of jeans on sale for 40% off the original price. After he used a $20 gift card, his total was $9.64. The original price of the jeans, j, can be calculated using the equation below. ⅗ j - 20 = 9.64 What is the original price of the pair of jeans that Shane purchased? *

Answer 1

To determine the original price of the jeans, the equation ⅗ j - 20 = 9.64 is solved by adding $20 to both sides, multiplying by 5/3, and calculating the result to find that the original price was $49.40.

Step-by-step explanation:

To find the original price of the jeans that Shane purchased, we need to solve the equation ⅗ j - 20 = 9.64 for j, where j represents the original price. Here are the steps to calculate it:

1. Add $20 to both sides of the equation to isolate the term with j: ⅗ j = 9.64 + 20.
2. Combine the numbers on the right side of the equation: ⅗ j = 29.64.
3. Multiply both sides of the equation by 5/3 to solve for j: j = (29.64) * (5/3).
4. Calculate the value of j: j = 49.40.

Therefore, the original price of the jeans that Shane purchased was $49.40.

Answer 2

So, the original price of the jeans (\(j\)) was $49.4.

Step-by-step explanation:

Let's solve the equation for \(j\):

\[\frac{3}{5}j - 20 = 9.64\]

Add 20 to both sides:

\[\frac{3}{5}j = 29.64\]

Now, multiply both sides by \(\frac{5}{3}\) to solve for \(j\):

\[j = 49.4\]