Question

adam is planning a pool party to celebrate the last day of school. he wants to give out beach towels to his guests as party favors. adam ordered 14 beach towels from sunshine party supply. since this was a bulk order, sunshine party supply reduced the price of each towel by $3.25. adam paid $105 in all. how much does sunshine party supply normally charge for a beach towel?

Explanation:

Step1: Find the reduced price per towel

Let the reduced price per towel be \( r \). We know that the total cost is the number of towels times the reduced price per towel. So, \( 14r = 105 \). Solving for \( r \), we divide both sides by 14: \( r=\frac{105}{14} = 7.5 \).

Step2: Find the normal price per towel

Let the normal price per towel be \( n \). The reduced price is the normal price minus \( 3.25 \), so \( n - 3.25=r \). We know \( r = 7.5 \), so we solve for \( n \) by adding \( 3.25 \) to both sides: \( n=7.5 + 3.25=10.75 \).

Answer:

\( 10.75 \)