On its first anniversary the store gave away a free gift hamper to every 75th customer and discount coupon to every 90th customer. If 1000 customers visited the store on that day then how many customers got both free gift hamper and discount voucher
Answers
On its first anniversary the store gave away a free gift hamper to every 75th customer and discount coupon to every 90th customer. If 1000 customers visited the store on that day then let x be the number of customers that got both free gift hamper and discount voucher.
To find x, we need to find the LCM of 75 and 90, which is 450.
So the multiples of 450 will get both free gift hamper and discount voucher. Between 0 and 1000, the multiples of 450 are 450 and 900. So only the 450th customer and the 900th customer will get both the gift hamper and the discount voucher.
Answer:-
450th and 900th will get both
Explaination:-
Let x be the number of customers that got both
LCM of 75 and 90
=> 450
Multiples of 450 will get both free gift hamper and discount voucher
Multiples of 450 between 0 to 1000 are 450 and 900
So only the 450th customer and 900th customer will get both free gift hamper and discount voucher.