last night the paid attendance at a play was784 people. The theater manager said that 25% of the audience paid a student rate for their tickets. He determined that 196 people paid the student rate.
PART A: Is the theater manager's calculation reasonable?
PART B: How did you determine your answer in part a?

Question

last night the paid attendance at a play was784 people. The theater manager said that 25% of the audience paid a student rate for their tickets. He determined that 196 people paid the student rate.
PART A: Is the theater manager's calculation reasonable? 
PART B: How did you determine your answer in part a?

anonymous · Answer

Yes. 25% is equivalent to the decimal 0.25. This equals (4/100) which simplifies to the fraction (1/4). Divide 784 by 4 and you indeed obtain 196 people who paid that student rate.