Final answer:
The total number of markers that Liam, Noah, and Madison have is calculated using the Greatest Common Factor and the Distributive Property by first finding the GCF, which is 5, and then applying it to get a total of 110 markers.
Step-by-step explanation:
To calculate the total number of markers that Liam, Noah, and Madison have using the Greatest Common Factor (GCF) and the Distributive Property, let's first find the GCF of their marker counts. The amounts of markers are 20, 25, and 65. Observing the three numbers, the GCF is 5 because 5 is the largest number that can be divided evenly into all three amounts.
Using the Distributive Property with the GCF, we can factor out the 5 and then combine the results: 5 (4 + 5 + 13). This expression can then be simplified by adding the numbers in the parentheses: 5 (22), which equals 110. Therefore, the total number of markers Liam, Noah, and Madison have together is 110.