Examples on Ratio Formula
Example 1: In a class of 80 students, there are 45 girls and the remaining are boys. Find the ratio of the total number of boys to the number of girls.
Solution:
Total Number of Students in the class = 80
Number of Girls = 45
Number of Boys = Total Number of Students – Number of Girls
= 80 – 45 = 35Ratio of Number of Boys and Number of Girls,
Number of Boys: Number of Girls = 45:35
Using the Ratio Formula,
45:35 = 45/35
= 9/7
Thus, the ratio of the number of boys and the number of girls is 9:7
Example 2: If the ratio of two supplementary angles is 2:3. Find the angles.
Solution:
Given,
Ratio of the supplementry angle = 2:3
Let the angle be 2x and 3x
Now, we know that supplementry angles are the angles whose sum is 180 degrees. Then,
2x + 3x = 180°
5x = 180°
x = 36°
Now,
First Angle = 2x = 2×36 = 72°
Second Angle = 3x = 3×36 = 108°
Thus, the required angles are 72° and 108°
Example 3: A basket consists of 16 oranges and 12 mangoes. Find the ratio of orange to mango in the basket.
Solution:
Given,
- Number of Oranges = 16
- Number of Mangoes = 12
Then,
Ratio of Orange to Mango = 16:12 = 16/12
Simplifying further,
16/12 = 4/3
Thus, the ratio of Orange to Mango is 4/3 or 4:3
Example 4: If the ratio of x and y is 3:5 and x = 21, then find the value of y.
Solution:
Given:
x:y = 3:5
x = 21
Using the Ratio Formula,
x:y = 3:5
x/y = 3/5
21/y = 3/5
y = (21×5)/3
y = 35
Thus, the value of y is 35
Ratio Formula
Ratios are an important concept in mathematics that is used to solve various numerical problems. It is another way of representing fractions and we define ratio using the ‘:‘ symbol. It is defined as the amount of an object contained in another object. Suppose we have two numbers ‘a’ and ‘b’ then we define the ratio between a and b as,
a:b and is read as “a ratio b” and its value is given as, a:b = a/b
As in fractions, we say ‘a’ in a/b the numerator, and ‘b’ the denominator. Similarly, in a:b we say ‘a‘ the Antecedent and ‘b‘ the Consequent.
Now, let us learn about what is ratio, ratio formulas including examples, and others in detail in this article.