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 10 biscuits and Cole made them in batches of 12 biscuits. What is the smallest number of biscuits each must have baked? Explain how you got your answer.

Answer 1

The smallest number of biscuits Miley and Cole each baked is 60, which is the Least Common Multiple (LCM) of Miley's batches of 10 and Cole's batches of 12.

Step-by-step explanation:

The smallest number of biscuits Miley and Cole must have baked for them to both have made the same number of biscuits, despite Miley making them in batches of 10 and Cole in batches of 12, is determined by finding the Least Common Multiple (LCM) of 10 and 12. The LCM is the smallest number that is a multiple of both 10 and 12.

1. List the multiples of 10: 10, 20, 30, 40, 50, 60, ...
2. List the multiples of 12: 12, 24, 36, 48, 60, ...
3. Find the smallest multiple they have in common: 60.

Therefore, the smallest number of biscuits they both baked is 60 biscuits.