Every six customer at a flower shop receives a free rose. Every ninth customer receives a free lily which customer will be the first to receive a free rose and a free lily.
To find out which customer will be the first to receive both a free rose and a free lily, we need to find the least common multiple (LCM) of 6 and 9.
Prime factorizing 6: 6 = 2 * 3
Prime factorizing 9: 9 = 3^2
To determine the LCM, we choose the highest power of each prime factor: 2 * 3^2 = 18.
The LCM of 6 and 9 is 18. This means every 18th customer would be the first to receive both a free rose and a free lily.