Question

At local bakery cassie decorated 10 cakes at a time ian decorated 4 at a time if they ended up decorating the same number of cakes by the end of the day what is the smallest number of cakes that each must have decorated write your answer in a complete sentence

Answer 1

The smallest number of cakes that Cassie and Ian must each have decorated by the end of the day is 20 cakes, as it is the least common multiple of 10 and 4.

Step-by-step explanation:

The smallest number of cakes both Cassie and Ian could have decorated if Cassie decorated 10 cakes at a time and Ian decorated 4 at a time is determined by finding the least common multiple (LCM) of 10 and 4.

Step 1: List multiples of 10 (10, 20, 30, 40, ...) and multiples of 4 (4, 8, 12, 16, 20, ...).

Step 2: Find the smallest number that appears on both lists of multiples. This number is the LCM of 10 and 4.

Step 3: The smallest LCM that appears on both lists is 20. Therefore, the smallest number of cakes that each must have decorated by the end of the day, having decorated the same number of cakes, is 20 cakes.