Final answer:
To find the first customer who will receive both types of gift cards from the music store, we calculate the least common multiple (LCM) of 10 and 25, which is 50. The 50th customer will therefore be the first to receive both a $5 and a $10 card. so the correct answer is option A.
Step-by-step explanation:
The student's question requires us to determine which customer will be the first to receive both types of gift cards from the music store, a $5 gift card given to every 10th customer and a $10 gift card given to every 25th customer. To find the first customer to receive both, we need to find the least common multiple (LCM) of 10 and 25.
Since 10 = 2 × 5 and 25 = 5 × 5, the LCM of 10 and 25 is 2 × 5 × 5, which is 50. Therefore, the 50th customer would be the first to receive both a $5 gift card and a $10 gift card. The correct answer is A) 50th customer.
To find the customer who will be the first to receive both types of gift card, we need to find the least common multiple (LCM) of 10 and 25. The LCM of 10 and 25 is 50, so the customer who will be the first to receive both gift cards is the 50th customer.