Early one morning sandy took out one half of the coins from her coin bank, and in the evening she put in 20 coins. the next morning she took out one third of the coins in the bank, and that evening she put in 4 coins. the next morning, she took out one half the coins in the bank, leaving 15 coins. how many coins were in the bank to begin with?

Two language majors, anna and megan, took exams in two languages. anna scored 85 on both exams. megan scored 74 on the first exam and 85 on the second exam. overall, student scores on the first exam had a mean of 82 and a standard deviation of 4, and the second exam scores had a mean of 71 and a standard deviation of 13. a) to qualify for language honors, a major must maintain at least an 85 average across all language courses taken. so far, which of anna and megan qualify? b) which student's overall performance was better?