The ACT is a test that colleges use to help make admissions decisions for potential students. Nationwide, the scores are normally distributed, with a mean score of 21 (out of a possible 36) with a standard deviation of 4.7. Remy scored better than two-thirds of test takers (meaning he scored at the 67th percentile). What was Remy's actual score? Remy's sister Mary took the ACT as a sophomore and scored at the 26th percentile. What was her actual score? Leonard scored at the 50th percentile on the ACT. Without using a calculator, determine what score he must have earned. Explain your answer.