Question

Principal Howard ordered 116 shirts from the Brand Blast custom clothing shop for his staff members to wear during the school's spirit week. Since this was a bulk order, Brand Blast reduced the price of each shirt by $5. Principal Howard paid $928 in all. How much does Brand Blast normally charge for a shirt?

Answer 1

Let's denote the normal price of each shirt as \( p \). Since Brand Blast reduced the price by $5 for the bulk order, the price per shirt after the reduction becomes \( p - 5 \).

Principal Howard ordered 116 shirts, and he paid a total of $928. We can write the equation representing the total cost:

\[
116(p - 5) = 928
\]

Next, we will simplify this equation:

1. Distribute 116:
\[
116p - 580 = 928
\]

2. Add 580 to both sides to isolate the term with \( p \):
\[
116p = 928 + 580
\]
\[
116p = 1508
\]

3. Now, divide both sides by 116 to solve for \( p \):
\[
p = \frac{1508}{116}
\]
\[
p = 13
\]

Therefore, the normal price for each shirt is \( \boxed{13} \).