I have to make a real world problem using the greatest common factor of two numbers help me please.
The two numbers are 32 and 45
32 and 45 do not have a common factor.
I mean 35 and 45
Poor
Sure! Let's create a real-world problem using the concept of the greatest common factor (GCF) of two numbers.
Problem:
Anna is organizing a charity event and wants to distribute an equal number of food packets to the participants. She has 30 chocolate bars and 45 bags of chips. Anna wants to distribute these snacks in such a way that each participant gets the same number of both types of snacks. What is the maximum number of participants she can cater to without having any leftover snacks of either type?
Solution:
To solve this problem, we need to find the GCF of 30 and 45.
1. List all the factors of both numbers:
- Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
- Factors of 45: 1, 3, 5, 9, 15, 45
2. Identify the common factors in both lists:
- Common factors of 30 and 45: 1, 3, 5, 15
3. Determine the GCF:
- The GCF is the greatest number in the list of common factors, which in this case is 15.
Therefore, Anna can cater to a maximum of 15 participants at her charity event without having any leftover snacks of either type. Each participant will receive 2 chocolate bars and 3 bags of chips.