Official Solution: 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 \(p\)? (1) Clara earned \(3p + 24\) dollars for the tests she graded beyond the first 24.
Since Clara graded 3 tests beyond the first 24, her pay for those tests was:
\(3(p + 8) = 3p + 24\)
This statement is already implied by the stem and gives no numerical value for \(p\).
Not sufficient.
(2) If Clara had graded 35 tests last week instead of 27 tests, she would have earned \(8p + 64\) dollars more.
Going from 27 tests to 35 tests adds 8 tests. Since all of those additional tests are beyond the first 24, each would be paid at \(p + 8\) dollars.
So the additional pay would be:
\(8(p + 8) = 8p + 64\)
This statement is also already implied by the stem and gives no numerical value for \(p\).
Not sufficient.
(1)+(2) Both statements only restate information already implied by the payment rule. No actual dollar amount is given, so \(p\) cannot be determined.
Not sufficient.
Answer: E