Question

A dozen apples weigh $ 2.4kg $ . How many apples will weigh $ 10.2kg $ ?

Answer 1

Hint: In the given problem, we are provided with the weight of a dozen apples. So, we have to find the number of apples that will weigh $ 10.2kg $ . We must know the unitary method in order to solve a variety of questions of this type. We will use the algebraic operations like division and multiplication to get to the final answer of the problem.

Complete step by step solution:
Now, in the given problem, we are given the weight of a dozen apples as $ 2.4kg $ .
We are required to calculate the number of apples that weigh $ 10.2kg $ .
So, we can solve the problem by using the unitary method. In the unitary method, we first find out the weight of one apple. Then, we can find the number of apples in a given weight by simple arithmetic operations like division and multiplication.
Now, we know that a dozen consists of twelve apples.
So, we get the weight of one apple $ = \dfrac{{2.4}}{{12}}kg = 0.2kg $
Now, we know that each apple weighs $ 0.2kg $ .
Now, we have to find the number of apples that weigh $ 10.2kg $ .
So, this can be calculated by dividing the given weight of apples by the weight of one apple.
So, we get,
Number of apples in $ 10.2kg $ $ = \dfrac{{10.2kg}}{{0.2kg}} = \dfrac{{102}}{2} $
Cancelling the common factors in numerator and denominator, we get,
 $ = 51 $
Hence, the number of apples that will weigh $ 10.2kg $ are $ 51 $ .
So, the correct answer is “ $ 51 $ ”.

Note: We must practice the algebraic operations and build up accuracy in arithmetic to be sure of the final answers to such questions that require calculations. We must know the unitary method in order to solve the given problem. We should build a strong foundation of topics like arithmetic, unitary method, algebraic expression, simplification rules as they are used in various domains and questions of mathematics.