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The objective of the problem is to find the weight of 8 mangoes.

Given that the weight of twelve mangoes is 2.4kg.

First , we find the weight of one mango. We are finding the weight of one mango because it is easy to find the weight of eight mangoes. By multiplying one mango weight with eight mangoes we get eight mangoes.

Let the weight of one mango be x.

Number of mangoes | Weight of mangoes in kgs |

12 | 2.4 |

1 | x |

To find x we use the cross multiplication. We get

$12 \times x = 1 \times 2.4$

$ \Rightarrow 12x = 2.4 \\

\Rightarrow x = \dfrac{{2.4}}{{12}} \\

$

Thus the weight of one mango is $\dfrac{{2.4}}{{12}}$kg.

But we have to find the weight of 8 mangoes. By multiplying the weight of one mango with eight mangoes we get the weight of eight mangoes .

Weight of eight mangoes $ = 8 \times \dfrac{{2.4}}{{12}}$

Multiplying numerator and denominator with 10 to take off the decimal point. We get

$ \Rightarrow 8 \times \dfrac{{2.4}}{{12}} \times \dfrac{{10}}{{10}}$

After multiplying numerator and denominator with 10 we get

$

= 8 \times \dfrac{{24}}{{120}} \\

= \dfrac{{24}}{{15}} = 1.6 \\

$