So we have ave a math problem that we are arguing on. This started as an argument between two 40 year olds looking through kid's math books. Here is the problem:

If there is 26 times more caffeine in a normal cup of coffee than in decaf and the total between them is 121.5 Grams of caffiene, how much is in each cup?

While I have no clue how to solve it, I can verify answers (Thank god my old brain retains that

). My logic says that:

Decaf + Regular = 121.5

Decaf * 26 = Normal

He is trying to tell me that Decaf = 4.67 and Caffien = 116.82. Rounded of course.

I can tell this is wrong because while Decaf + Regular is true, Decaf * 26 is not.

How can I prove him wrong here?

Thanks!