The royal fruit company produces two types of fruit drinks. the first type is 60% pure fruit juice, and the second type is 100% pure fruit juice. the company is attempting to produce a fruit drink that contains 70% pure fruit juice. how many pints of each of the two existing types of drink must be used to make 120 pints of a mixture that is 70% pure fruit juice?

Suppose that 3% of all athletes are using the endurance-enhancing hormone epo (you should be able to simply compute the percentage of all athletes that are not using epo). for our purposes, a “positive” test result is one that indicates presence of epo in an athlete’s bloodstream. the probability of a positive result, given the presence of epo is .99. the probability of a negative result, when epo is not present, is .90. what is the probability that a randomly selected athlete tests positive for epo? 0.0297