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Sergio [31]
2 years ago
9

3.2.PS-33 Liam has 63 CDs​, Alex has 49 CDs​, and Michael has 77 CDs. Use the GCF and the Distributive Property to find the tota

l number of CDs Liam​, Alex​, and Michael have.
Mathematics
1 answer:
labwork [276]2 years ago
8 0

Answer:

The total number of CDs Liam​, Alex​, and Michael have is <u>189</u>.

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:

7(9+7+11)

=63+49+77

=189.

Therefore, the total number of CDs Liam​, Alex​, and Michael have is 189.

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