In a Quiz program the ratio of correct answers to incorrect answers is $5 : 2$ . If 16 incorrect answers are given, then the number of correct answers given is

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answer is B.

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Detailed Solution

Concept- Here we assume the number of correct answers and number of incorrect answers as separate variables and use the concept of ratio to form an equation.
Assume the number of correct answers given in a quiz be

x

.
Assume the number of incorrect answers given in a quiz be

y

.
We know the ratio

m : n

of any number

m

n

can be written as

m : n

We are given the ratio of number of correct answers to the number of incorrect answers as

5 : 2

.
Therefore, we can write the ratio

x : y = 5 : 2

Assume this as equation (1)
Whenever we have an equation where there are values in the denominator on both sides, we can cross multiply the denominator of a side to the numerator of the other side to solve the equation.
Cross multiplying the values on both sides of the equation (1)