every 6th customer at a flower shop receives a free rose, and every 9th customer receives a free lily. which…

every 6th customer at a flower shop receives a free rose, and every 9th customer receives a free lily. which customer will be the first to receive a free rose and a free lily? 9th customer 18th customer 36th customer 54th customer

every 6th customer at a flower shop receives a free rose, and every 9th customer receives a free lily. which customer will be the first to receive a free rose and a free lily? 9th customer 18th customer 36th customer 54th customer

Answer

Explanation:

Step1: Prime - factorize the numbers

$6 = 2\times3$; $9 = 3\times3$

Step2: Calculate the LCM

LCM is found by taking the highest - power of each prime factor. For prime factor 2, the power is 1; for prime factor 3, the power is 2. So, $LCM(6,9)=2\times3^{2}=2\times9 = 18$

Answer:

B. 18th customer