1. Pat has ten tests to write in the school year. He can obtain a maximum score of 100 on each test. The average score of Pat's first eight tests is 80 and the average score of all of Pat's tests is $N$. What is the maximum possible value of $N$ ?
Solution: Pat's average will be highest if he scores as high as possible on his last two tests and the highest he can score on each test is 100 . His total score for the ten tests will be $8 * 80+100+100=840$ and his average will be $840 / 10=84$.