Question

9) 78 litres of water needs to be poured in two pots in the ratio of 6: 7. Find the volume of water in
the two pots​

Answer 1

Step-by-step explanation:

let the ratio's be x

then according to question,

=6x+7x=78

=13x= 78

x=78/13

x= 6

1st pot= 6x= 6×6= 36 ans

2nd pot=7x=7×6=42 ans

HOPE THIS HELPS YOU DEAR.......

Answer 2

Answer:

The volume of water in the two pots are 36 litres and 42 litres respectively.

Step-by-step explanation:

Given, total amount of water = 78 litres and 78 litres of water needs to be poured in two pots in the ratio of 6: 7.

Volume of water in first pot =

$\frac{6}{6 + 7} \times 78 \\ = \frac{6}{13} \times 78 \\ = 6 \times 6 \\ = 36 \: litres$

and volume of water in second pot

$= \frac{7}{6 + 7} \times 78 \\ = \frac{7}{13} \times 78 \\ = 7 \times 6 \\ = 42 \: litres$

This is a problem of ratio.

Ratio related more information:

A ratio is a mathematical concept used to compare two or more numbers. It is used to show how large or small a quantity is compared to another. In a ratio, two quantities are compared using division. Here, the dividend is called the "prior," and the divisor is called the "consequent." For example, in a group of 30 people, 17 of them prefer to walk in the morning, and 13 prefer to ride a bike. To represent this information as a ratio, we write it as 17:13. Here the symbol ":" is read as "is to." Thus, the ratio of people who prefer walking to those who prefer cycling is considered to be 17:13.

What is a relationship?

A ratio is defined as a comparison of two quantities of the same units that shows how much of one quantity is in the other quantity. Ratios can be divided into two types. One is the relation of the parts to the parts, and the other is the relation of the parts to the whole. A relationship between parts shows how two different entities or groups are related. For example, the ratio of boys to girls in a class is 12:15, while the ratio of part to whole represents the ratio of a particular group to the whole. For example, 5 out of 10 people like to read books. Therefore, the ratio of part to whole is 5:10, which means that every 5 out of 10 people like to read books.

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