Question

At a cricket test match 2/7 of the spectators were in covered place while 15000 were in open. Find the total number of spectators.

Answer 1

$\sf\huge\underline{Answer}$

The total number of spectators at a cricket test match were 2100 respectively.

Explanation :-

Given :

• Spectators present in covered place - 2/7
• Spectators present in the open - 15000

To find :

The total number of spectators

Solution :

Let the total number of spectators be x

Now, Spectators present in covered place = 2/7 of x

According to question,

Total number of spectators = Number of spectators in the cover + Number of spectators in open

$\longrightarrow x = 1500 \: + \dfrac {2}{7} \: of \: x$

$\longrightarrow x = 1500 + \dfrac{2x}{7}$

$\longrightarrow x - \dfrac{2x}{7} = 1500$

$\longrightarrow \dfrac{7x - 2x}{7} = 1500$

$\longrightarrow \dfrac{5x}{7} = 1500$

$\longrightarrow x = \dfrac{1500 \times 7}{5}$

$\large{\underline{\boxed{\sf\therefore x = 2100}}}$

Hence, The total number of spectators present were 2100

Answer 2

Answer :

Total number of spectators is 2100.

Step-by-step explanation :

Given that :

Spectators present in the open =  15000

Spectators present in covered place =  2/7

To Find :

The total number of spectators.

Solution :

$\star\;\textbf{\underline{\underline{Consider as -}}}$

Total number of spectators as - "y"

Now,

Total number of spectators :

Number of spectators in open + Number of spectators in the cover

Spectators present in covered place = $\dfrac{2}{7}\;of\; y$

$\sf \implies \dfrca{2}{7}\;y+15000=y\\ \\ \implies \dfrac{2}{7}y - y= -15000\\ \\\implies 2y-\dfrac{7y}{7}= - 15000\\ \\\implies \dfrac{-5y}{7}= -15000\\ \\\implies -5y= -15000 \times 7\\ \\\implies y= - 15000\times \dfrac{7}{-5}\\ \\\implies y=2100\\ \\ \\\bigstar\;\textbf{\underline{\underline{Hence, The total number of Spectators is 2100.}}}$