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MATH / In Heidi's history class, the only grades that count toward the semester average…

Problem

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problem

In Heidi's history class, the only grades that count toward the semester average are the 66 tests she has already taken and the upcoming final exam. The final exam counts as two tests. Heidi has determined that if she earns 9999 points on the final she will have exactly a 9090-point average for the semester. On average, how many points has Heidi scored on each test prior to the final exam?
Plain-text mathematical notation (without MathML)
In Heidi's history class, the only grades that count toward the semester average are the 6 tests she has already taken and the upcoming final exam. The final exam counts as two tests. Heidi has determined that if she earns 99 points on the final she will have exactly a 90-point average for the semester. On average, how many points has Heidi scored on each test prior to the final exam?
Original LaTeX notation
In Heidi's history class, the only grades that count toward the semester average are the $6$ tests she has already taken and the upcoming final exam. The final exam counts as two tests. Heidi has determined that if she earns $99$ points on the final she will have exactly a $90$-point average for the semester. On average, how many points has Heidi scored on each test prior to the final exam?

level

Level 5

type

Prealgebra

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Source and history

task_id
46648bf9-1e02-5a90-8c20-ad17bbb2c81a
task_key
prealgebra--test--46648bf9-1e02-5a90-8c20-ad17bbb2c81a
task_revision_id
1
config / split
prealgebra / test

Official source

initial import