Mark has been watching 16 movies per month for the past x months. Max has been trying to keep up with his pace but has only been able to watch half as many as Mark has. Between the two of them, they have watched a total of 144 movies. For how many months have they been watching these 144 movies?

Select one:

A. 3

B. 4

C. 5

D. 6

D. 6

Step-by-step explanation:

Mark watches 16 movies per month and has been for x months; this gives us the expression 16x.

Max watches half as many as Mark has; this means we multiply Mark's expression, 16x, by 1/2:

1/2 (16x)

Together they have watched 144 movies. This gives us the equation

16x+1/2 (16x) = 144

Simplifying the second term, we have

16x+8x = 144

Combining like terms gives us

24x = 144

Divide both sides by 24:

24x/24 = 144/24

x = 6

It's 6 because mark has 16 right and max read half of mark's book so max has 8 because 8x2 = 16 so I added 16 + 8 = 24 and 24x 6 = 144