After Rob has lost, he will have 120 dollars. We can work this out by
establishing that if Rob had 280 dollars before the final competition,
and the ration at the point was 4 to 7, then this means that Tom must
have had 4/7 of what Rob had, so x=4/7 * 280, x = 4 x 40, x = 160. This
means that Tom had 160 dollars and Rob had 280. Adding this together
they have a combined 440 dollars, but the ratio is now 8:3. There are 11
parts to the ration, due to the fact that 8 and 3 is 11, so we need to
work out one part of the ratio - 440 divided by 11 equals forty. This
means that Tom has 8 multiplied by 40 (320 dollars) and Rob has 40
multiplied by 3, so 120 dollars.
