Math Problem Statement
Sandra brings cheese and crackers for lunch every six days and Lady brings cheese and crackers every eight days if they both brought cheese and crackers today how many days would it be before both girls bring cheese and crackers again
Solution
To determine when both Sandra and Lady will bring cheese and crackers on the same day again, we need to find the least common multiple (LCM) of 6 days (Sandra's schedule) and 8 days (Lady's schedule).
Steps:
-
Prime factorization:
- 6 = 2 × 3
- 8 = 2³
-
Find the LCM: The LCM is found by taking the highest powers of all the prime factors:
- Highest power of 2 is
- Highest power of 3 is
Therefore, the LCM is .
Thus, Sandra and Lady will both bring cheese and crackers again in 24 days.
Would you like more details or have any other questions?
Here are 5 related questions you might find useful:
- How do you find the greatest common divisor (GCD) of two numbers?
- Can the LCM method be used for more than two schedules?
- How does the LCM differ from the GCD in problem-solving?
- What are other real-life examples where the LCM is useful?
- Can we solve LCM problems using a different method, like listing multiples?
Tip: Finding the LCM is useful for scheduling problems where events repeat at different intervals.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Number Theory
Least Common Multiple (LCM)
Prime Factorization
Formulas
LCM(a, b) = (a × b) / GCD(a, b)
Prime Factorization of Numbers
Theorems
LCM Theorem
Suitable Grade Level
Grades 5-7