A tutoring center pays Clara each week for grading practice tests. In a given week, she earns p dollars for each of the first 24 tests she grades and p + 8 dollars for each test she grades beyond the first 24. If Clara graded 27 tests last week, what is the value of p?Since Clara graded 27 tests, we can calculate the following.
She earned p dollars for each of the first 24 tests: 24p.
She earned p + 8 dollars for each of the remaining 3 tests: 3p + 24.
(1) Clara earned 3p + 24 dollars for the tests she graded beyond the first 24.We already know this from the information provided by the passage.
So, this statement doesn't tell us anything new that we can use to determine the value of p.
Insufficient.
(2) If Clara had graded 35 tests last week instead of 27 tests, she would have earned 8p + 64 dollars more.We already knew this from the information provided by the passage.
After all, 35 - 27 = 8, and 8(p + 8) = 8p + 64.
So, this statement doesn't tell us anything new that we can use to determine the value of p.
Insufficient.
Statements (1) and (2) combinedCombined, the statements say nothing different from what the passage says.
Insufficient.
Correct answer: E