Showing posts with label proportion. Show all posts
Showing posts with label proportion. Show all posts

Tuesday, August 21, 2012

Introduction to ratio and proportion summary

Introduction to ratio and proportion summary:

              The ratio a: b is equivalent to the quotient `a/b` . A is relation of give the equality of two ratios, in the form `a/b` = `c/d` . This relation has called as proportion. Proportion is a states in which numbers are called as proportionality relation giving of two ratios, in the form `a/b` = `c/d` . Here a & d are known as extreme and b & c are known as means.                                                    

Problems on Proportion Summary:

     The ratio a: b is equivalent to the quotient `a/b` . The ratio of two given numbers a and b is the fraction, usually expressed in reduced form.

Ratio summary - example 1:  

                  A classroom has 60 men and 20 women. What is the ratio of men and women?        

Solution:

                   Men to women = 60 to 20 or 60: 20,

                   which reduces to = 6 to 2 or 6:2

                   The ratio of men to women is 6 to 2, or `6/2` , or 6 : 2.

Ratio summary - example 2:  

              A triangle has angle measures of 30°, 60°, and 90°. In simple form, what is the ratio of the given angles to each other?

Solution:

            30: 60: 90 = 3: 6: 9 (10 is a common divisor).That is,

                     (1) Ratio of the first to the second is 3 to 6.

                     (2) Ratio of the first to the third is 3 to 9.

                     (3) Ratio of the second to the third is 6 to 9.

Some Problems for Proportion Summary:

    A is relation give the equality of two ratios, in the form `a/b ` = `c/d` . This relation has called as proportion. Proportion is a states in which numbers are called as proportionality relation giving of two ratios, in the form `a/b` = `c/d` . Here a & d are known as extreme and b & c are known as means.                                                   

Proportion summary - example 1:

           If `x/5` = `y/2` , find the ratio of  `x/y` .(proportion)

Solution:

                    `x/5` =  `y/2`                                                          

                    `x/y` =  `5/2`

       Therefore the ratio of x and y is 5:2

Proportion summary - example 2:

           If  `x/3` = `2/6` , then find x?

Solution:

           Using cross multiplication (Property 1)

                    2x = 3 `xx` 6

                    2x = 18

                     x = `18/2`

                     x = 9

            So the value of x = 9