Question

a container hold 26/5 liter of water a bottle hold 7/2 liter less water than container water from the container and the bottle are mixed and poured equally into 30glasses how much water does each glass contain​

Answer 1

Correct Question

A container holds 26/5 litre of water. A bottle holds 7/2 litre less water than container. Water from the container and the bottle are mixed and poured equally into 30 glasses. How much water does each glass contain?

Answer

Given :

Litres of water in container : 26/5

Litres of water in a glass is 7/2 litres less than water in container.

The mixture of both container and glass are equally distributed among 30 glasses.

To find :

The litres of water that each glass can hold.

Solution :

First, we should find the litres of water in glass.

Litres of water in glass :

Let the litres of water in glass be x.

$\sf \dashrightarrow \dfrac{26}{5} - x = \dfrac{7}{2}$

$\sf \dashrightarrow x = \dfrac{7}{2} - \dfrac{26}{5}$

$\sf \dashrightarrow - x = \dfrac{35 - 52}{10}$

$\sf \dashrightarrow - x = \dfrac{-17}{10}$

$\sf \dashrightarrow x = \dfrac{17}{10}$

Now, we can find the total quantity of mixture we get while adding water in both container and glass.

Total quantity of water :

$\sf \dashrightarrow \dfrac{26}{5} + \dfrac{17}{10}$

$\sf \dashrightarrow \dfrac{52 + 17}{10}$

$\sf \dashrightarrow \dfrac{69}{10}$

Now, we can find the quantity of each glass when the water is distributed.

Total litres in each glass :

$\sf \dashrightarrow \dfrac{69}{10} \div 3$

$\sf \dashrightarrow \dfrac{69}{10} \times \dfrac{1}{3}$

$\sf \dashrightarrow \cancel \dfrac{69}{30} = \dfrac{23}{10}$

Hence, the quantity of each glass is 23/10 litres.