Question

One symbol represents 5 balloons then the number of symbols to be drawn to represent 60 balloons is.
(a) 5
(b) 60
(c) 10
(d) 12

Answer 1

Hint: In this question, let us assume the number of symbols to be some variable and then form a linear equation with the given conditions. Then on solving the linear equation formed we get the value of the number of symbols.

Complete step-by-step answer:

Now, given that 1 symbol represents 5 balloons.
Let us assume the number of symbols that represent 60 balloons as x.
Now, from the above conditions we can write
\[\Rightarrow x\times 5=60\]
Let us now divide with 5 on both the sides.
\[\Rightarrow x=\dfrac{60}{5}\]
Now, this equation can also be written as
\[\Rightarrow x=\dfrac{12\times 5}{5}\]
Now, on cancelling out the common terms we can write is as
\[\therefore x=12\]
Hence, the correct option is (d).

Note: Instead of assuming a variable for the symbols that represent 60 balloons we can directly calculate them by multiplication because if 1 symbol represents 5 balloons how many symbols would represent 60 balloons will give the answer. Both the methods give the same result.
It is important to note that while solving and calculating we need to multiply and divide with appropriate terms because interchanging any of the terms or neglecting them will change the result completely.