– + 29(5) – 110 = –10 + 145 – 110 = 25. Keep (C), but check (D) just in case it alsoworks. Choice (D) becomes – + (10) – 110 = – + 31(5) – 110 = –10 + 155 –110 = 35. Eliminate (D) and choose (C).
D To stay at his fancy hotel for three nights at 2,000 Moroccan dirhams per night, Erik will
need 6,000 dirhams. Using the currency conversion rate of 1 dirham = $0.11, we can
multiply 6,000 × 0.11 to determine that Erik’s hotel stay will cost $660. Since his bank
allows him to withdraw only $200 at a time, Erik must go to the ATM four times: (D).
C Start with the easier equation first and use Process of Elimination. The easier equation
involves the total amount of gas sold. According to the question, 850 gallons of gasoline
were sold, which can be expressed as u + p = 850. Eliminate (D) since it does not include
this equation. The other equation in the answers is related to the amount of money collected.
According to the question, $3,016.50 was collected; however, this sum included a discount
of $0.10 per gallon for 100 of the gallons that were purchased or $0.10 × 100 = $10.
Without the discount unleaded gas costs $3.49 and premium gas costs $3.79 a gallon, and
the amount of money collected would have been $3,016.50 + $10 = $3,026.50. Only (C)
provides the correct total. Therefore, the correct answer is (C).
B First, let’s figure out how many students are enrolled in AP courses other than Biology and
U.S. History. We know that 319 students are enrolled in at least one AP course, and of
those, 75 + 58 = 133 are enrolled in Biology and U.S. History. However, since 22 students
are enrolled in both of those courses, we need to subtract 22 from 133 (so as not to double-
count the students taking both courses). That leaves us with 133 – 22 = 111 total students
who are taking AP Biology and AP U.S. History. Of the 319 students taking AP courses, that
means there are 319 – 111 = 208 students taking AP courses other than Biology and U.S.
History. We know that there are 784 juniors and seniors total, so = 0.265, or
approximately 27% of all juniors and seniors, which is (B).
A Total score = average score × the number of tests. In order for Mateo to receive a B, he
needs his total score over the 3 tests to be between 3 × 80 = 240 points and 3 × 89 = 267
points. On his first and second tests, Mateo scored a total of 79 + 95 = 174 points.
Therefore, on his third test Mateo must score between 240 – 174 = 66 and 267 – 174 = 93
points in order to receive a B. The correct answer is (A).
A Use Process of Elimination to solve this question. Choice (A) is possible so leave it.
Choice (B) discusses the mass of the fertilizer, but no reference to mass is made in the
question. Eliminate (B). According to the question, the quantity described in (C) is
represented by A, so eliminate (C). According to the question, the quantity described in (D)
is represented by Y, so eliminate (D). The correct answer is (A).
D The mode of the combined groups cannot be determined without knowing exactly what