Question

One symbol represents \[5\] balloons then the number of symbols used to be drawn to represent \[60\] balloons.
A) 5 B) 50 C) 10 D) 12

Answer 1

Hint: Here we use the concept of unitary method which helps us to find the value of multiple objects when we have the value of a single object by multiplying the number of objects with the value for one object.

Complete step-by-step answer:
We are given five balloons represented by one symbol
So we can find the symbol which represents one balloon by dividing one symbol by five.
Therefore, we can write 1 balloon is represented by one-fifth of the symbol.
Using unitary method we find the number of symbols used to represent sixty balloons by multiplying sixty to the one balloons representation
So, \[60\] balloons are represented by one fifth multiplied with \[60\]
\[ = \dfrac{1}{5} \times 60 = 12\]
Therefore, $12$ symbols are used to represent \[60\] balloons.

Option D is the correct answer.

Additional Information:
Unitary method is a method which helps us to find the value of a single unit when we are given the value of multiple units and find the value of multiple units when we are given the value of a single unit.
* If we are given the value of a single unit, we multiply the number of units to the value of a single unit and we get the value of multiple units.
* If we are given the value of multiple units then we divide the total value by the number of units to get the value of a single unit.

Note: Students are likely to make mistakes in questions which have units in different forms. Students are advised to use common conversions first to convert all the values in the same unit and then do calculations. Some conversions are:
1Kg has 1000 grams
Rs.1 has 100 paisa
1 dozen has 12 units