Question

Miley and Cole ended up making the same number of biscuits for a bake sale at school, even though Miley made them in batches of 7 biscuits and Cole made them in batches of 11 biscuits. What is the smallest number of biscuits each must have baked?

A. 77
B. 11
C. 77
D. 88

Answer 1

To find the smallest number of biscuits each must have baked, we find the least common multiple (LCM) of 7 and 11, which is 77.

Step-by-step explanation:

To find the smallest number of biscuits each must have baked, we need to find the least common multiple of 7 and 11. The least common multiple of two numbers is the smallest multiple that both numbers can divide evenly into.

The prime factors of 7 are 7 and 1. The prime factors of 11 are 11 and 1. To find the least common multiple, we multiply the highest power of each prime factor.

7 x 11 = 77

Therefore, the smallest number of biscuits each must have baked is 77.