Monday, November 3, 2014

Ratio and Proportion

Source: Contemporary's GED Mathematics Jerry Howett 

Ratio

A ratio is a comparison of numbers by division. A ratio can be written in the following ways:


  • with the word to
  • with a colon [:]
  • as a fraction


Like a fraction, a ratio should be reduced to lowest terms.

In order to solve a ratio problem, you may have to calculate one of the numbers in a ratio.



In one neighborhood, 7 homeowners have snow-blowers and 28 home owners use shovels. What is the ratio of snow-blowers to shovels?


A) 1:4
B) 7:4
C) 1:28
D) 4:1
E) 28:7

Of the 359 workers at a company, 62 are office workers. What is the approximate ratio of office workers to non-office workers?

A) 1:5
B) 1:6
C) 5:6
D) 60:360
E) 62:359


Proportion

A proportion is a statement that two ratios are equal.

Each of the four numbers in a proportion is called an element, or a term.
The cross products in a proportion are equal.

To solve a proportion, follow these steps:

Write a statement with two equal cross products.

Divide both sides of the statement by the number in front of the missing term.


What is the missing term in the proportion?

9/x = 15/10


A) 90
B) 13.5
C) 10
D) 6
E) 4

A clerical assistant earns $45.20 in 8 hours. At this rate, how much does he earn in 40 hours?

A) $180.00
B) $226.00
C) $361.60
D) $404.00
E) $1,808.00


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