QUANTITY A QUANTITY B- (0.0079)(23.2) (0.79)(0.232) A B C D
QUANTITY A QUANTITY B- (^) √2^1 + √3^1 + √4^1 + √5^1 12 +^13 +^14 +^15 A B C D
Exercise Answers
Skills Check: Improper Fractions
A. (^113)
B. (^365)
C. –8 3
Discrete Quantitative Questions
- D Since you are not told how many cookies are in the jar, assign a variable:
j. Now express the different quantities in terms of j. If^13 of the cookies are
chocolate chip, then chocolate chip cookies =^13 j.^23 of the remaining cookies
are peanut butter. The remaining cookies in the jar =^23 j, so the number of
peanut butter cookies will be^23 (^23 )j = (^49 )j. Finally, you know that the remaining
20 cookies are white chocolate. What is the relationship between all these
quantities? They must add up to the total: j. You should thus set up the
following relationship:^13 j +^49 j + 20 = j. Combine like terms:
(^39 )j + (^49 )j + 20 = j
(^79 )j + 20 = j
20 = (^29 )j
Multiply both sides by^92 :
20(^92 ) = j
j = 90- B To answer the question, you need a fraction where the numerator will be
the number of red marbles left after 20 are removed, and the denominator will
be the total number of marbles after 20 red marbles are removed and 40 black
marbles are added. The denominator is easier to solve, so start there. After 20
red marbles are taken away, there are 100 total marbles. After 40 black marbles
are added, there are 140 total marbles. The denominator of the fraction is 140.
To determine a value for the numerator, first determine the number of red
marbles before 20 are removed. Red marbles =^13 (120) = 40. There are originally
40 red marbles. After 20 are removed, there are 20. Thus the numerator of the
fraction is 20. The fraction you are solving for will be 14 0^20. Reduce and
arrive at ^17.
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