Question

The given table shows the number of different types of balls bought by a shopkeeper. What fraction of the total number of balls are tennis balls?

Types of balls	Number of balls
Football	24
Cricket ball	50
Baseball	28
Tennis Ball	42

A) $\dfrac{26}{7}$
B) $\dfrac{7}{28}$
C) $\dfrac{7}{17}$
D) $\dfrac{7}{24}$

Answer 1

In such types of questions first we have to find out the total number of balls and then we have to divide the number of tennis balls with the total number of balls to get the fraction of the tennis balls.

Formula used:
For calculating the fraction we have to use the following formula:
Fraction of tennis balls $=$ Number of tennis balls / Total number of balls

Complete step by step answer:
First all from the given data in the question we have to find out the total number of balls present.
Let suppose the total number of balls are $=N$
Therefore,
$N=24+50+28+42$
$\Rightarrow N=144$
And suppose the number of tennis balls is $={{N}_{t}}$
Therefore, from the given data
${{N}_{t}}=42$
Therefore, we know that the fraction of tennis balls is given by dividing the number of tennis balls with the total number of balls present.
Therefore,
Fraction of tennis balls
$F=\dfrac{{{N}_{t}}}{N}$
Substitute the necessary values in above expression we get
$F=\dfrac{42}{144}$
Further solving the above expression we get
$F=\dfrac{7}{24}$

Therefore, the fraction of tennis balls present is $\dfrac{7}{24}$. Therefore, option D is correct.

Note:
In such types of questions it is very important to remember the fraction formula to find out the required fraction. Here, from the given data we can also find out the fraction of other balls like cricket ball, baseball etc.