if 400 customers come to a grand opening and every 5th customers receives a coupon for jeans and every 7th customers receives a coupon for a free sweater. how many customers will leave with both
every 35th leaves with both
400/35 = 11.4, so 11 people leave with both.
To find out how many customers will leave with both a jeans coupon and a sweater coupon, we need to determine the total number of customers who receive each coupon and then see how many of them overlap.
Let's break it down step by step:
Step 1: Calculate the number of customers who receive a jeans coupon.
Every 5th customer receives a jeans coupon. To find out the number of customers who satisfy this condition, we divide the total number of customers (400) by 5:
400 ÷ 5 = 80 customers receive a jeans coupon.
Step 2: Calculate the number of customers who receive a sweater coupon.
Every 7th customer receives a sweater coupon. To find out the number of customers who meet this condition, we divide the total number of customers (400) by 7:
400 ÷ 7 = 57.14 (approximately) customers who receive a sweater coupon.
Since we cannot have a fraction of a customer, we take the next whole number below decimal, which is 57.
So, 57 customers receive a sweater coupon.
Step 3: Determine the overlapping customers.
To find out how many customers receive both a jeans coupon and a sweater coupon, we need to determine the common multiples of 5 and 7. The first common multiple is 35.
Step 4: Calculate the number of customers who receive both coupons.
To find out the number of customers receiving both coupons, we divide the total number of customers (400) by 35:
400 ÷ 35 = 11.43 (approximately).
Again, we cannot have a fraction of a customer, so we take the whole number part, which is 11.
Therefore, 11 customers will leave with both a jeans coupon and a sweater coupon.
So, the answer is that 11 customers will leave with both coupons.