Step 3: Substitute 6 for y in the choices, and identify which choice yields a
value that matches your goal: 20. The only choice that yields a value of 20
is E.- B
Step 1: Choose smart values for z and q: Let z = 80 and q = 5.
Step 2: Substitute 80 for z and 5 for q in the question and determine the
“goal”: If the team averaged 80 points per game for 5 games, then its total
number of points for those 5 games was 80 × 5 = 400. After the team scored
100 points, its total was 500 and the number of games played was 6. Thus
the new average is^5006 =^2503. The goal is^2503.
Step 3: Substitute 80 for z and 5 for q in the choices, and identify which
choice yields a value that matches your goal:^2503. The only choice that yields
a value of^2503 is B. - C
Step 1: Choose smart values for a and b: Since there is a restriction in the
question, choose a value for a and let that value determine b: Let a = 6.
Substitute 6 into the given equation to solve for b:
(^) 6 +^6 bb = 2
6 b = 2(6 + b)
6 b = 12 + 2b
4 b = 12
b = 3
So a = 6, and b = 3.
Step 2: Substitute 6 for a and 3 for b in the question and determine the
“goal”: Since the question asks to solve for a, the goal is simply the value
of a: 6.
Step 3: Substitute 3 for b in the choices, and identify which choice yields a
value that matches your goal: 6. The only choice that yields a value of 6
is C.
CHAPTER 7 ■ TWO ESSENTIAL QUANTITATIVE REASONING STRATEGIES 159
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