This question has three parts.
At the grand opening of a store, the owner gave away stickers and T-shirts to some of the customers.
• A total of 180 customers visited the store at the grand opening.
• Every 10th customer received a free sticker.
Every 25th customer received a free T-shirt.
Part A
What is the total number of customers who received a free sticker? Show or explain how you got your answer.
Part B
What is the total number of customers who received a free T-shirt? Show or explain how you got your answer. Part C
What is the total number of customers who received both a free sticker and a free T-shirt? Show or explain how you got your answer.
Part A:
To determine the total number of customers who received a free sticker, we need to divide the total number of customers (180) by the frequency at which stickers were given out (every 10th customer).
180 / 10 = 18
Therefore, 18 customers received a free sticker.
Part B:
To determine the total number of customers who received a free T-shirt, we need to divide the total number of customers (180) by the frequency at which T-shirts were given out (every 25th customer).
180 / 25 = 7 remainder 5
Since there is a remainder of 5, it means that 7 groups of 25 customers would receive a T-shirt, and 5 additional customers would also receive one.
Therefore, 5 customers received a free T-shirt.
Part C:
To determine the total number of customers who received both a free sticker and a free T-shirt, we need to find the lowest common multiple of 10 and 25, which is 50.
Since every 50th customer would receive both a sticker and a T-shirt, we need to divide the total number of customers (180) by 50.
180 / 50 = 3 remainder 30
Since there is a remainder of 30, it means that 3 groups of 50 customers would receive both a sticker and a T-shirt, and 30 additional customers would receive at least one of them.
Therefore, 30 customers received both a free sticker and a free T-shirt.