Question

the elementery lunch menu repeats every 25 days; the middle school lunch menu repeats every 15 days. both schools are serving chicken tenders today. in how many days will both schools serve chicken tenders again?

Answer 1

To find out when both schools will serve chicken tenders again, we need to determine the least common multiple (LCM) of 25 and 15. The LCM represents the smallest number that is divisible by both 25 and 15.

To calculate the LCM, we can find the prime factorizations of 25 and 15:

25 = 5 * 5
15 = 3 * 5

Next, we identify the common and non-common prime factors from both factorizations:

Common factors: 5
Non-common factors from 25: 5
Non-common factors from 15: 3

Finally, we multiply the common factors and the non-common factors together:

LCM = 5 * 5 * 3 = 75

Therefore, both schools will serve chicken tenders again in 75 days.