Question

neev get total 155 marks in english maths and geography english:maths=1/4:1/3 maths :geography = 1/5:1/6 find marks in each subject


Please

Answer 1

Answer:

The marks obtained in English = 9x = 45

marks obtained in Maths = 12x = 60

marks obtained in geography = 10x = 50

Step-by-step explanation:

As per the data given in the equation,

We have to determine the mark obtained by Neev in English, maths and geography.

As per the question,

It is given that,

The ratio of the mark obtained in English and maths is:

English:maths=1/4:1/3

We can write the above as:

$\frac{English}{Maths}=\frac{\frac{1}{4}}{\frac{1}{3}}\\\\\frac{English}{Maths} = \frac{3}{4}\\\\English :Maths = 3:4$

Hence, the ratio of mark obtained in English and Maths be 3:4---(i)

Now, we have,

The ratio of the mark obtained in Maths and Geography is:

Maths :geography = 1/5:1/6

We can write the above as:

$\frac{Maths}{Geography}=\frac{\frac{1}{5}}{\frac{1}{6}}\\\\\frac{Maths}{Geography} = \frac{6}{5}\\\\Maths : Geography= 6:5$

Hence, the ratio of marks obtained in Maths and Geography is 6:5----(ii)

From (i) and (ii),

Let us assume that,

mark obtained in English = 3x, maths = 4x (As per equation(i))

marks obtained in maths = 6x, geography = 5x (As per equation(ii))

As the mark of maths is 4x and 6x, so we will first equalize the mark of maths.

So, We will multiply (i) by 3 and (ii) by 2

Thus we will get,

The mark obtained in:

English = 9x

maths = 12x

Geography = 10x

Now, the sum of marks is 155

So, we can write it as:

$9x+12x+10x=155\\31x=155\\x=\frac{155}{31}=5$

So, the marks obtained in English = 9x = 45

marks obtained in Maths = 12x = 60

marks obtained in geography = 10x = 50

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