Ratio and Proportion Problems

Ratio and Proportion Problems

A ratio is a relationship between two numbers (or two objects) that defines the quantity of the first in comparison to the second. Ratio 3 to 4 can be written as 3:4 or 3 / 4.
The first term 3 is called the antecedent(which goes before) and the second term 4 is called the consequent(Which goes after).

A can do a piece of work in 10 days. B is 50 % more efficient than A. Find the number of days it takes B to do the same piece of work ?

A : B Efficency 100  : 150 
Days   150  : 100
or 3 : 2 
So the number of days taken by B to complete the 
work = ( 2 / 3 )* 10 = 6(2/3) days  

If a:b = 2:3 and b:c = 4:3, then find a:b:c

a:b=2:3
b:c=4:3=(4*34:3*34)
=3:9/4
a:b:c=2:3:9/4
=8:12:9