Question

An animal shelter has 24 large cages and 42 small cages that need to be cleaned. The director of the shelter wants to divide the work so that each person cleans the same number of large cages and the same number of small cages. What is the largest number of people he can use to do the work and how many large and small cages will each person clean? explain your reasoning

Answer 1

24 = 6*4
42 = 6*7

So, 6 people each clean 4 small and 7 large cages. No other larger number divides both 24 and 42, since 4 and 7 have no common factors.

Answer 2

BIG E