Test

In: Business and Management

Submitted By jai2shan
Words 11466
Pages 46
M ANHATTAN

G u id e 1

GM AT

Fractions, Decimals, & Percents
Clarifies Concepts and Builds Computation Skills

Includes 6
> Free Online t< 12

x

50

X 4 _ X l
X

2 _ J_

25

x ~ 50 x = 100

Then, cross-multiply: x = 100.

2. 4,250:
2x

Ax

y

8,500

2x _

x

~y ” 2,125

First, simplify the ratio on the right-hand side of the equation.

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

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

Cross-multiply to solve:

red

2

y —4,250.

22

2x —22 x — 11

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

35 men

7 women

x women

Xm X a n
1

7 women

7 men

x women

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

MANHATTAN

GMAT

71

Ratios

Chapter 4

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

Model 0.5 cm
Real

1m

xcm
4m

The length of a side on the real sculpture is 4 m.
Set up a proportion and solve for x, the side of the model 05_x
1 ” 4

x —2 cm

The…...

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