Question

Which expression shows 36 + 63 as the product of their greatest common factor and the sum of two whole numbers with no common factor?
A. 11(3 + 6)

B. 9(4 + 7)

C. 11(4 + 5)

D. 3(15 + 18)

Answer 1

Hey!

Hope this helps...

~~~~~~~~~~~~~~~~~~~~~~~~~~

The first thing we know is that all the answers equal 99, so we cannot cross any answer off, however, what we want to know is what answer (after distribution) looks like 36 + 63...

A.) 11(3 + 6) > 33 + 66

Does 33+66 look like 36+63?

NO

B.) 9(4 + 7) > 36 + 63

Does 36+63 look like 36+63?

YES

C.) 11(4 + 5) > 44 + 55

Does 44+55 look like 36+63?

NO

D.) 3(15 + 18) > 45 + 54

Does 45+54 look like 36+63?

NO

So...

The answer is: B.) 9(4 + 7)