2023 AMC 10A Problems/Problem 10
Maureen is keeping track of the mean of her quiz scores this semester. If Maureen scores an on the next quiz, her mean will increase by
. If she scores an
on each of the next three quizzes, her mean will increase by
. What is the mean of her quiz scores currently?
Solution 1
Let represent the amount of tests taken previously and
the mean of the scores taken previously.
We can write the equation and
.
Expanding, and
.
This gives us and
. Solving for each variable,
and
. (D)
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