David and Mark win some money and share it in the ratio 3:2. David gets £8 more than Mark. How much did Mark get?

Answer 1

This is a ratio problem. The amount of money that Mark has can be labeled as "x." The amount that David has would then be x + 8.

Since the ratio of David's money stash to Mark's money stash is equal to 3:2, we can do this:

x + 8 / x = 3 / 2

Now we can cross-multiply:

2(x + 8) = 3x

2x + 16 = 3x

16 = x

So Mark has 16 pounds. David must have (16 + 8) or 24 pounds.