You are given a mathematical question described with an open-ended vocabulary. Questions in this task involve real-world situations, describing a mathematical problem. You are also given 4 or 5 answer options (associated with "A", "B", "C", "D", "E"). Do not generate anything else apart from one of the following characters: 'A', 'B, 'C', 'D', 'E'. LaTeX mathematical format (the standard way to express mathematical expressions in the typesetting software known as LaTeX) is used to express equations. Each question is solvable with high school math knowledge. Give only one answer for each question.
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Question: In a display consisting of one row of coins, there are an equal number of silver and gold coins. Which of the following must be true?
(A)The first coin and the last coin are different types. (B)There are two adjacent gold coins in a row. (C)There are two adjacent silver coins in a row. (D)If there are two adjacent silver coins, there are also two adjacent gold coins. (E)If the last two coins are gold, there are at least two adjacent silver coins.

Answer: E

Question: Serena has three photographs from Brazil - a 1andscape, a street scene, and a portrait. She also has three photographs from Kenya - a landscape, a street scene and a portrait - and three photographs from Istanbul: a landscape, a street scene, and a portrait. Serena wants to display three photographs: one landscape, one street scene, and one portrait, and also wants to use one each from Brazil, Kenya, and Istanbul. How many different possibilities does she have?
(A)1 (B)3 (C)6 (D)9 (E)27

Answer: C

Question: Selena has two types of records, worth a total of \$41.75. Of her 25 records, b records are worth \$1.25 each and the remaining d records are worth \$2.30 each. Selena has no other types of records . Which of the following sets of equations can be solved to determine how many of each record type Selena has?
(A)\(b + d = 4l.75 3.55(b + d) = 25\) (B)\(3.55 (b + d) = 41.75 l.25(b + d) = 2.30\) (C)\(3.55(b + d) = 41.75 1.25b + 2.30d = 25\) (D)\(b + d = 25 2.30b + 1.25d = 41.75\) (E)\(b + d = 25 1.25b + 2.30d = 41.75\)

Answer:
E