Greg brought 6 of his button-down shirts to a secondhand store to sell.

Question

He was paid the same amount of cash for each shirt. Before he left, Greg spent $27.50 of his earnings on a used suit jacket. He had $17.50 remaining.
1)) Which equation can you use to find the value, s, of each shirt?
27.50(5 - 6) = 17.50
65 - 27.50 = 17.50
27.505 - 6 = 17.50
6(5 - 27.50) = 17.50

Answer 1

To find the value \( s \) of each shirt, we can first establish the total amount Greg earned from selling the shirts. Since he sold 6 shirts and received the same amount for each shirt, the total amount he received is \( 6s \).

After selling the shirts, Greg spent $27.50 on a used suit jacket, and he had $17.50 remaining. This can be expressed with the following equation:

\[ 6s - 27.50 = 17.50 \]

Now, let's see which provided option relates to this equation:

1. \( 27.50(5 - 6) = 17.50 \) - Incorrect.

2. \( 65 - 27.50 = 17.50 \) - Incorrect, not related to the problem.

3. \( 27.50(5 - 6) = 17.50 \) - Incorrect.

4. \( 6(5 - 27.50) = 17.50 \) - Incorrect.

None of the provided options are correctly formulated equations for finding the value \( s \) of each shirt based on the scenario.

To summarize, the correct equation to solve for \( s \) is: \( 6s - 27.50 = 17.50 \) which can be rearranged to find \( s \).