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Part V: Practice-Review-Analyze-Practice

43. B. If team B’s victories are called x, then team A must have 2x victories, team C must

have (2x – 5) victories, and team D must have (x + 4) victories. All together these total

6x – 1. The problem states that the total equals 29 victories. Thus,

6x – 1 = 29

6x = 30

x = 5

Therefore, team D has (x + 4) victories, or (5 + 4) = 9.

44. C. If you call the smaller piece x, then the larger piece (6 inches bigger) must be x+ 6.

Since the two pieces together equal a yardstick,

x + (x + 6) = 36

x + x + 6 = 36

45. B. Solving for p, first subtract 9 from both sides.

7p + 9 = 24

7p + 9 – 9 = 24 – 9

7p = 15

Now divide both sides by 7:

7p

7

=

15

7

p = 15 ⁄7

5(

burritos) 45(

burritos)

46. E. =

12 ( time)

x ( time)

(you don’t know this, so represent it as x.)

Shortcut — These are equivalent fractions.

Since 5# 9=

45

then 12 # 9 = 108 (which is x)

Now divide by 60:

108 minutes

60 (minutesin one hour)

= 1hour

48minutes

You can also solve this mathematically as follows by first cross multiplying:

12 5 =

45

x

(5x) = (12) (45)

5x = 540

374

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