Manhattan

In: Business and Management

Submitted By dochas
Words 11498
Pages 46
GM AT
& More!
E ric C a b a lle ro , M a n h a tta n G M A T In s tru c to r

G u id e 1

Fractions, Decimals, & Percents
Clarifies Concepts and Builds Computation Skills Teaches Problem Solving & Data Sufficiency Strategies Includes Practice Problems with Detailed Explanations

Includes 6 > Free Online t< 12

x

50

X 4 _ X l

2 _ J_ x ~ 50 x = 100

X

25

Then, cross-multiply: x = 100.

2. 4,250:
2x y 2x _ Ax
8,500 First, simplify the ratio on the right-hand side of the equation.

x

~y ” 2,125

Then, cross-multiply: 4,250x = xy. Divide both sides of the equation by *: red 2 22

y —4,250.

3. 11: Write a proportion to solve this problem:

Cross-multiply to solve:

2x —22 x — 11

4. 43: First, establish the starting number of men and women with a proportion, and simplify: 5 men 7 women 35 men

Xm X a n
1 7 women

7 men

x women

x women

Cross-multiply: x —49. If 6 women leave the room, there are 49 - 6 = 43 women left.

MANHATTAN

GMAT

71

Chapter 4

Ratios
5. 33 hours: Use an equation with the Unknown Multiplier to represent the total hours put in by the three people:

2x + 3x + 5x= 110 10*= 110 x= 11
Therefore, the hardest working person put in 5(11) = 55 hours, and the person who worked the least put in 2(11) = 22 hours. This represents a difference of 55 - 22 = 33 hours. 6. 3 mL: The correct ratio is 1:4, which means that there should be x parts bleach and 4x parts water. x However, Alexandra put in half as much bleach as she should have, so she put in — parts bleach. You

x can represent this with an equation: — + 4x = 27. x+ 8x= 54 9* = 5 4 x= 6
You were asked to find how much bleach Alexandra used. This equalled x!2, so Alexandra used 6/2 = 3 mL of bleach.

7. 8 cm3: Real: V= s5

64 = s3 ^ s = 4 xcm
4m

The length of a side on the real sculpture is 4 m. Set up a proportion and…...

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