Answer:
The total number of CDs Liam, Alex, and Michael have is 189.
Step-by-step explanation:
Given:
Liam has 63 CDs, Alex has 49 CDs, and Michael has 77 CDs.
Now, to find the total number of CDs using the GCF and the Distributive Property.
So, the CDs are :
Liam = 63.
Alex = 49.
Michael = 77.
Now, we factorize all the Number of CDs of Liam, Alex and Michael to get the GCF:
The factors of 63 are: 1, 3, 7, 9, 21, 63
The factors of 49 are: 1, 7, 49
The factors of 77 are: 1, 7, 11, 77
Thus, 7 is the GCF.
Now, we use the distributive property to get the total number of CDs Liam, Alex, and Michael have:
[tex]7(9+7+11)[/tex]
[tex]=63+49+77[/tex]
[tex]=189.[/tex]
Therefore, the total number of CDs Liam, Alex, and Michael have is 189.
