Question

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 total number of CDs Liam​, Alex​, and Michael have.

Answer 1

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

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.