Question

question #5 keiths middle school cafeteria repeats its menu every 12 days. roberts middle school cafeteria repeats its menu every 16 days. both middle schools are serving chicken nuggets today. in how many days will they both be serving chicken nuggets again? a 32 days b 48 days c 4 days d 72 days

Explanation:

Step1: Find prime factors

Factorize 12: \(12 = 2^2\times3\)
Factorize 16: \(16 = 2^4\)

Step2: Calculate LCM

LCM takes highest powers: \(2^4\times3 = 16\times3 = 48\)

Answer:

B. 48 days