Question

In a match 5/11 of the spectators were in a covered place and 30000 were in open. Find the total

number of spectators​

Answer 1

Answer :-

• Total number of spectators = 55,000

Given :-

• Spectators in open place = 30,000

• Spectators in closed place = 5/11 of total number of spectators.

To Find :-

• Total number of spectators.

Step By Step Explanation :-

Let us consider the total number of spectators be x.

Then equation will be ⤵

$\boxed{ \underline{ \sf{ \purple{\cfrac{5x}{11} + 30000 = x}}}}$

Now let us find the value of x ⤵

$\implies \sf \cfrac{5x}{11} + 30000 = x \\ \\ \implies \sf \cfrac{5x + 330000}{11} = x \\ \\ \implies \sf5x + 330000 = 11x \\ \\ \implies \sf330000 = 11x - 5x \\ \\ \implies \sf330000 = 6x \\ \\ \implies \sf \cancel\cfrac{330000}{6} = x \\ \\ \implies \sf \: x = 55000$

Therefore total number of spectators = 55,000

Check :-

By substituting the value of x in L. H. S. ⤵

$\implies\sf \cfrac{5 \times\not5\not5 \not\not0\not0\not0}{ \not1 \not1} + 30000 \\ \\ \implies \sf5 \times 5000 + 30000 \\ \\\implies \sf25000 + 30000 \\ \\ \implies \sf 55000$

L. H. S. = 55,000

Now R. H. S. ⤵

$\implies \sf55000$

Therefore, L. H. S. = R. H. S.

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