Question

# One hundred monkeys have $100$ apples to divide. Each adult gets three apples while three children share one. The number of adult monkeys is $...........$ . $\left( a \right){\text{ 20}}$  $\left( b \right){\text{ 25}}$  $\left( c \right){\text{ 30}}$  $\left( d \right){\text{ 33}}$

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Hint: For solving this question we will use the unitary method for it. Since, from the question we can see that the ratio of adults and children is given as $3:1$ , which means in total we have $4$ . And from this, we will calculate the number of apples for adults. And then applying the unitary method we will have the number of adult monkeys.

So first of all we will see the values given to us. Since it is given that the number of apples is $100$ .
And also it is given that $1$ adults get $3$ apples and the $3$ children get $1$ apples.
So from this, the ratio of adult and children will be as $3:1$ , which means in total we have $4$
So, the number of apples for an adult will be given by
$\Rightarrow \dfrac{3}{4} \times 100$
And on solving the above fraction, we get
$\Rightarrow 75$
Since $3$ apple is for $1$ adults.
Therefore, $75$ apple will be for $\dfrac{{75}}{3}$
And on solving the fraction by dividing it, we get
$\Rightarrow 25$
Hence, the number of the adult monkey will be $25$
Therefore, the option $\left( b \right)$ is correct.
So, the correct answer is “Option b”.

Note: This type of question can be solved easily if we read the statement of the question carefully and we understand it is based on applications of fractions. A fraction represents a part of a whole or, more generally, any number of equal parts.