Question

A bag containing 30 apples weighs 6kg. How much will 1080 such apples weigh?

Answer 1

Hint: Here, we are given the weight of 30 apples and we need to find the weight of 1080 apples. So, for this, we will find the weight of one apple and then we will multiply the answer with 1080 apples, which is known as the unitary method. By doing so, we will get the final output.

Complete step by step answer:
Given that the weight of 30 apples is 6 kg. Thus, the weight of 1 apple will be as below: Let, the weight of 1 apple be \[x\]kg
30 apples = 6 kg
1 apple = ? (\[x\])
Using cross multiplication, we will get,
\[x = \dfrac{{6 \times 1}}{{30}}\]
On simplifying this, we will get,
\[ \Rightarrow x = \dfrac{6}{{30}}\] kg
Next, we will find the weight of 1080 apples. Since, we know that, the weight of 1 apple i.e. \[\dfrac{6}{{30}}\] kg

Let the weight of 1080 apples be \[y\]kg.
1 apple = \[\dfrac{6}{{30}}\] kg
1080 apples = ? (\[y\])
Again by using cross multiplication, we will get,
\[ \Rightarrow y = \dfrac{{6 \times 1080}}{{30 \times 1}}\]
On simplifying this, we will get,
\[ \Rightarrow y = \dfrac{{6 \times 1080}}{{30}}\]
\[ \Rightarrow y = \dfrac{{6 \times 108}}{3}\]
Again, evaluating this more, we will get,
\[ \Rightarrow y = 2 \times 108\]
\[ \Rightarrow y = 216\]kg

Hence, the weight of 1080 apples is 216 kg.

Note: The word unitary means a single or an individual unit. Thus, this method is used at determining values in relation to a single unit. In short, we have used a unitary method. It is a technique used for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.