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?

The management of a supermarket wants to adopt a new promotional policy of giving a free gift to every customer who spends more than a certain amount per visit at this supermarket. the expectation of the management is that after this promotional policy is advertised, the expenditures for all customers at this supermarket will be normally distributed with a mean of $95 and a standard deviation of $20. if the management wants to give free gifts to at most 10% of the customers, what should the amount be above which a customer would receive a free gift?