Question

marie is a tour guide who gives several tours over the course of a morning shift and an evening shift. her morning shift tours are given to groups of 9 people while her evening shift tours are given to groups of 6 people. if the total number of tourists in the morning shift is the same as the total number of tourists in the evening shift, what is the minimum number of tourists that marie guides in each shift?

Explanation:

Step1: Identify target value type

We need the least common multiple (LCM) of 9 and 6.

Step2: Prime factorize the numbers

$9 = 3^2$, $6 = 2 \times 3$

Step3: Calculate LCM

Take highest powers of all primes: $2^1 \times 3^2 = 2 \times 9 = 18$

Answer:

18