Question

Quinn sold 3 of her old softball mitts at Mickey's Secondhand Thrift Mart and received the same amount of cash for each. Before she left, she spent $23 of her earnings on a used batting helmet. She had $7 remaining. What was the value of each softball mitt?
$

Answer 1

Let the amount of cash Quinn received for each softball mitt be \(x\). Since she sold 3 mitts, the total amount she received is \(3x\).

After selling the mitts, Quinn spent $23 on a used batting helmet and had $7 remaining. Therefore, we can set up the following equation:

\[
3x - 23 = 7
\]

To find \(3x\), we add 23 to both sides of the equation:

\[
3x = 7 + 23
\]
\[
3x = 30
\]

Now, we solve for \(x\) by dividing both sides by 3:

\[
x = \frac{30}{3}
\]
\[
x = 10
\]

Thus, the value of each softball mitt is \(\boxed{10}\) dollars.