If a dealership increased the price of its sedans by $3,000, then
the price of a sedan would be double the price of a truck.
QUANTITY A QUANTITY B- The price of a sedan The price of a truck A B C D
The total price of 3 equally priced stereos is equivalent to
the total price of 2 equally priced MP3 players.
QUANTITY A QUANTITY B- A B C D
Exercise Answers
Discrete Quantitative Questions
- B Let k = Kathy’s salary and j = Janet’s salary. The first relationship is that k
- j = 200,000. The next relationship is that Kathy’s salary is $20,000 less than
Janet’s salary. Expressed algebraically, this relationship is: k = j – 20,000. Next,
combine the equations to solve for j. To do so, substitute (j – 20,000) for k in
the first equation: (j – 20,000) + j = 200,000. Solve for j:
2 j – 20,000 = 200,000
2 j = 220,000
j = 110,000
- j = 200,000. The next relationship is that Kathy’s salary is $20,000 less than
- A Let f = the number of miles of the first part of the trip. Let s = the number
of miles of the second part of the trip. Let t = the number of miles of the third
part of the trip. The sum of the three parts is 220 miles, so f + s + t = 220.
The first part of the trip is 20 miles longer than the second part, so f = s + 20.
The second part of the trip is 50 miles longer than the first part, so t = s + 50.
To solve for s, substitute (s + 20) for f and (s + 50) for t in the original equation:
(s + 20) + s + (s + 50) = 220. Solve for s:
3 s + 70 = 220
3 s = 150
s = 50 - E Let s = the number of shirts Bob purchases. Let t = the number of ties Bob
purchases. If Bob purchases 10 items, then s + t = 10. The next relationship is
the more difficult one. The $340 that Bob pays is the sum of the amount he
pays for shirts and the amount he pays for ties.
The amount he pays for the shirts is ($/shirt) × (number of shirts) = 40s.
The amount he pays for the ties is ($/tie) × (number of ties) = 20t.
So 40s + 20t = 340. You now have two equations:
The ratio of the price of
a stereo to the price of
an MP3 player2
3322 PART 4 ■ MATH REVIEW04-GRE-Test-2018_313-462.indd 322 12/05/17 12:03 pm