A jar contains 6 L of milk. After packing the milk in equal quantities in 8 packets, $\frac{2}{5}$ L of milk was still left in the jar. What is the quantity of milk in each of the packets?

Given: 

A jar contains 6 L of milk.

After packing the milk in equal quantities in 8 packets, $\frac{2}{5}$ L of milk was still left in the jar.

To find: Here we have to find the quantity of milk in each of the packets.

Solution:

Let the quantity of milk in each packet be $x$.

The milk is packed in 8 packets.

So,

$8x$ is packed and $\frac{2}{5}$ L is left.

So,

$8x\ +\ \frac{2}{5}\ = 6$ 

$8x\ =\ 6\ -\ \frac{2}{5}$ 

$8x\ =\ \frac{30}{5}\ -\ \frac{2}{5}$

$8x\ =\ \frac{28}{5}$

$x\ =\ \frac{28}{5}\ ÷\ 8$

$x\ =\ \frac{28}{40}$

$\mathbf{x\ =\ \frac{7}{10}}$ L

So, quantity of milk in each packet is $\frac{7}{10}$ L.

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Updated on: 10-Oct-2022

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