Question

The coach of the Relay race team promised his athletes a reward if they win gold or silver. The reward is divided up relative to speed. Jenny got a sixth of the pot, Katherine a fifth. How big was the total reward sum, if Katherine got $ 1,499 more than Jenny?

Answer 1

So, let's name the full pool of money"x"

we know that Jenny got x/6 and that Katherine got x/5.

We also know that Katherine got more:

x/5-1.499=x/6.

So we just need to solve this equation!

Let's multiply everything by 30:
6x-30*1499=5x

6x-44970=5x

let's substitute 5x from both sides:
x-44970=0

so
x=44970
which is the correct answer!