Question

Sarah is running a lemonade stand she has a bunch of lemonade ready every 6 hours and her friend John prepares a new batch every 8 hours eBay both Starts Now when will they both have a fresh batch of lemonade ready to serve together use the ladder method to either find the lcm or the HCF and explain

Answer 1

To find the time when both Sarah and John will have a fresh batch of lemonade ready to serve together, we need to determine the least common multiple (LCM) of 6 and 8 hours.

First, let's list the multiples of 6 and 8:

Multiples of 6: 6, 12, 18, 24, 30, 36, 42, ...

Multiples of 8: 8, 16, 24, 32, 40, ...

From the lists, we can see that the first common multiple of both 6 and 8 is 24. This means that after 24 hours, both Sarah and John will have a fresh batch of lemonade ready to serve together.

Using the ladder method, we start with the numbers 6 and 8 at the bottom of the ladder and find the smallest number that can be divided evenly by both 6 and 8. Moving upwards, we find the LCM of 6 and 8, which is 24.

Therefore, after 24 hours, Sarah and John will both have a fresh batch of lemonade ready to serve together.

Explanation: