Ryan and Kimberly are fishermen who, by coincidence, caught the same number of fish this week. Ryan caught fish in nets that hold 6 fish, while Kimberly caught fish in nets that hold 5 fish. What is the minimum number of fish each must have caught?
Question
Ryan and Kimberly are fishermen who, by coincidence, caught the same number of fish this week. Ryan caught fish in nets that hold 6 fish, while Kimberly caught fish in nets that hold 5 fish. What is the minimum number of fish each must have caught?
Solution
To find the minimum number of fish each must have caught, we need to find the least common multiple (LCM) of the numbers 5 and 6, which represent the capacity of the nets used by Kimberly and Ryan respectively.
Step 1: List the multiples of each number Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50... Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60...
Step 2: Identify the least common multiple From the lists above, we can see that the least common multiple of 5 and 6 is 30.
Therefore, the minimum number of fish each must have caught is 30.
Similar Questions
Gwen and Preston are fishermen who, by coincidence, caught the same number of fish this week. Gwen caught fish in nets that hold 46 fish, while Preston caught fish in nets that hold 41 fish. What is the minimum number of fish each must have caught?
You catch, tag, and release 50 fish back into a pond. Then, you catch 25 more fish, 5 of which are tagged. What is the best estimate of the number of fish in the pond?100 fish250 fish400 fish625 fish
20 fishermen can catch 20 fish in 20 minutes. As per this,how many fish can 400 fishermen catch in 6 hours 40 minutes?80004000202000
Hayley has 7 different fish in a small, crowded tank. She decides to randomly scoop up individual fish and transfer them to a new tank until a total of 3 fish have been moved. How many sequences of 3 fish are possible?
A scientist counts 80 fishes in a pond. He marks them all with a UV pen. The next day he counts 60 fish, 24 of which have already been marked with his UV pen. Use this information to estimate the total fish in the pond:
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.