Answer
424.5k+ views
Hint:To find the maximum number of mangoes that can be put inside the box so that the weight of the box does not exceed $\dfrac{3}{5}kg$. So for that we derive an equation that contains weight of each mango and weight is less than and equal to $\dfrac{3}{5}kg$.
Complete step-by-step answer:
As we have to given that the Weight of each mango is = \[\dfrac{1}{{10}}kg\]
And Maximum weight capacity of each box is = $\dfrac{3}{5}kg$
Now Let assume that the maximum number of mangoes that can be put inside the box is equal to $x$
Now we have to find weight of $x$ mangoes, for that multiply weight of each mango to $x$
So weight of $x$ mangoes is = $\dfrac{1}{{10}} \times x$$kg$
Now as we know the total weight of box not exceed by $\dfrac{3}{5}kg$
So we can write it in linear inequality
$ \Rightarrow $ $\dfrac{1}{{10}} \times x \leqslant \dfrac{3}{5}$
Now rearrange this equation we get $x \leqslant \dfrac{3}{5} \times 10$
From this we get $x \leqslant 6$
Hence, the maximum number of mangoes that can be stored in a box is 6.
So, the correct answer is “Option A”.
Note:Shortcut method for this question or hit and trial method:
We have weight of each mango is $\dfrac{1}{{10}}kg$ and we have maximum weight that is $\dfrac{3}{5}kg$
So how many times we add each mango weight or from which number we multiply to each mango weight so that we reach up to the maximum limit of weight.
So we multiply it by $6$ so that $\dfrac{1}{{10}} \times 6$ = $\dfrac{3}{5}$
From this we can say our maximum number of mango is $6$.
Complete step-by-step answer:
As we have to given that the Weight of each mango is = \[\dfrac{1}{{10}}kg\]
And Maximum weight capacity of each box is = $\dfrac{3}{5}kg$
Now Let assume that the maximum number of mangoes that can be put inside the box is equal to $x$
Now we have to find weight of $x$ mangoes, for that multiply weight of each mango to $x$
So weight of $x$ mangoes is = $\dfrac{1}{{10}} \times x$$kg$
Now as we know the total weight of box not exceed by $\dfrac{3}{5}kg$
So we can write it in linear inequality
$ \Rightarrow $ $\dfrac{1}{{10}} \times x \leqslant \dfrac{3}{5}$
Now rearrange this equation we get $x \leqslant \dfrac{3}{5} \times 10$
From this we get $x \leqslant 6$
Hence, the maximum number of mangoes that can be stored in a box is 6.
So, the correct answer is “Option A”.
Note:Shortcut method for this question or hit and trial method:
We have weight of each mango is $\dfrac{1}{{10}}kg$ and we have maximum weight that is $\dfrac{3}{5}kg$
So how many times we add each mango weight or from which number we multiply to each mango weight so that we reach up to the maximum limit of weight.
So we multiply it by $6$ so that $\dfrac{1}{{10}} \times 6$ = $\dfrac{3}{5}$
From this we can say our maximum number of mango is $6$.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Why Are Noble Gases NonReactive class 11 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let X and Y be the sets of all positive divisors of class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x and y be 2 real numbers which satisfy the equations class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x 4log 2sqrt 9k 1 + 7 and y dfrac132log 2sqrt5 class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x22ax+b20 and x22bx+a20 be two equations Then the class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
At which age domestication of animals started A Neolithic class 11 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Which are the Top 10 Largest Countries of the World?
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give 10 examples for herbs , shrubs , climbers , creepers
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference Between Plant Cell and Animal Cell
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Write a letter to the principal requesting him to grant class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Change the following sentences into negative and interrogative class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill in the blanks A 1 lakh ten thousand B 1 million class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)