Luna sold 2 pairs of her old jazzy jump sneakers at the step again secondhand store. Before she left, Luna spent 12 of her earning on a used pair of dress shoes. She had $6 remaining. How much did Luna get for each pair of sneakers?

Write an equation and solve it

1 answer

Let's define the variables to help us solve the problem. Let \( x \) be the amount Luna earned for each pair of sneakers. Since she sold 2 pairs, her total earnings from the sneakers would be \( 2x \).

According to the problem, Luna spent $12 on dress shoes and had $6 remaining after that. Therefore, we can set up the following equation based on her total earnings:

\[ 2x - 12 = 6 \]

Now let's solve this equation step by step.

  1. Add 12 to both sides to isolate the term with \( x \):

\[ 2x - 12 + 12 = 6 + 12 \]

This simplifies to:

\[ 2x = 18 \]

  1. Now, divide both sides by 2 to find \( x \):

\[ x = \frac{18}{2} \]

This simplifies to:

\[ x = 9 \]

Now we have determined that Luna earned $9 for each pair of sneakers.

Answer:

Luna got $9 for each pair of sneakers.