Chapter 17
Two-Variable Word Problems
In This Chapter…
Two-Variable Word Problems
Two-Variable Word Problems Answers
Two-Variable Word Problems
For questions in the Quantitative Comparison format (“Quantity A” and “Quantity B” given), the
answer choices are always as follows:
(A) Quantity A is greater.
(B) Quantity B is greater.
(C) The two quantities are equal.
(D) The relationship cannot be determined from the information given.
Where answer choices do not appear on Quantitative Comparison questions in this book, you should
choose A, B, C or D based on the above.
For questions followed by a numeric entry box
, you are to enter your own answer in the
box. For questions followed by a fraction-style numeric entry box
, you are to enter
your answer in the form of a fraction. You are not required to reduce fractions. For example, if the
answer is
, you may enter
or any equivalent fraction.
All numbers used are real numbers. All figures are assumed to lie in a plane unless otherwise
indicated. Geometric figures are not necessarily drawn to scale. You should assume, however, that
lines that appear to be straight are actually straight, points on a line are in the order shown, and all
geometric objects are in the relative positions shown. Coordinate systems, such as
xy
-planes and
number lines, as well as graphical data presentations, such as bar charts, circle graphs, and line
graphs,
are
drawn to scale. A symbol that appears more than once in a question has the same meaning
throughout the question.
1. Two parking lots can hold a total of 115 cars. The Green lot can hold 35
fewer cars than the Red lot. How many cars can the Red lot hold?
(A)
35
(B)
40
(C)
70
(D)
75
(E)
80
2. Three friends ate 14 slices of pizza. If two of the friends ate the same
number of slices, and the third ate 2 more slices than each of the other two,
how many slices were eaten by the third friend?
(A)
3
(B)
4
(C)
5
(D)
6
(E)
7
In 8 years, Polly’s age, which is currently
p
, will be twice
Quan’s age, which is currently
q
.
3.
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