If every 6th customer gets a coupon for free fruit snacks and every 9th customer gets a coupon for free fruit juice which customer will be the first to get both free fruit and free juice?
what is the lowest common multiple of 6 and 9 ?
My son has this question tonight for homework. I think the answer is the 18th person would get both coupons. I made a diagram. 5xs then a F for the free fruit coupon, i went up to 4 groups then a F. then i went back and counted to the ninth person and put a j for juice above it. The 18th person had both a j and a f.
xxxxxFxxxxxFxxxxxxFxxxxxF, then count 9, and put a j for juice above it. The 18th person has both coupons.
To find the first customer who will get both free fruit snacks and free fruit juice, we need to find the least common multiple (LCM) of 6 and 9. The LCM is the smallest number that is evenly divisible by both 6 and 9.
First, let's find the multiples of 6: 6, 12, 18, 24, 30, 36,...
Then, let's find the multiples of 9: 9, 18, 27, 36,...
From the above lists, we can see that 18 is the smallest number that appears in both lists. Therefore, the 18th customer will be the first to get both free fruit snacks and free fruit juice.