Skip to main content
OlympiadHQ

Browse · MATH

Print

jmc

prealgebra senior

Problem

In Heidi's history class, the only grades that count toward the semester average are the tests she has already taken and the upcoming final exam. The final exam counts as two tests. Heidi has determined that if she earns points on the final she will have exactly a -point average for the semester. On average, how many points has Heidi scored on each test prior to the final exam?
Solution
Set the average for her previous exams to be . The total amount of points including the final will be . The average is . Then we solve for .
Final answer
87