Question

Andrew brings juice for lunch every 5 days and Hannah brings juice every 7 days. They both brought juice today. How many days will it be before they both bring juice on the same day?

a) 2
b) 12
c) 30
d) 35

Answer 1

Andrew and Hannah will both bring juice on the same day after 35 days, as 35 is the least common multiple of 5 and 7. Hence, option d) 35 is the correct answer.

Step-by-step explanation:

The question asks us to determine after how many days Andrew and Hannah will bring juice to lunch on the same day again, given that Andrew brings juice every 5 days and Hannah brings juice every 7 days. To find this, we need to calculate the least common multiple (LCM) of 5 and 7, which is the smallest number that is divisible by both 5 and 7.

The multiples of 5 are 5, 10, 15, 20, 25, 30, 35, and so on. The multiples of 7 are 7, 14, 21, 28, 35, and so forth. The first common multiple of both 5 and 7 is 35.

Therefore, Andrew and Hannah will both bring juice on the same day after 35 days. The correct answer is d) 35.