Math, asked by birenderkumar198254, 4 days ago

One third of the workforce of a cricket stadium is working on the ground and 5/6 of the remaining workforce is taking care of security. The remaining 6 workers are working in the sitting area. Find the total strength of workforce of the stadium.​

Answers

Answered by mathdude500
18

Answer:

\qquad\boxed{ \sf{ \:\bf \:Total\:strength\:of\:workforce = 54 \: }} \\  \\

Step-by-step explanation:

Let assume that number of workforce in stadium be 3x

It is given that, one third of the workforce of a cricket stadium is working on the ground.

So, number of workforce working on ground = x

\qquad\qquad\boxed{ \sf{ \: \because \:  \frac{1}{3} \times 3x = x \: }} \\  \\

So, Remaining number of workforce = 3x - x = 2x

Again given that, 5/6 of the remaining workforce is taking care of security.

So, Number of workforce taking care of security = \frac{5}{3} x

\qquad\qquad\boxed{ \sf{ \: \because \:  \frac{5}{6} \times 2x =  \frac{5x}{3}  \: }} \\  \\

So, Remaining 6 workers are working in the sitting area.

Thus,

\sf \: 2x - \dfrac{5x}{3}  = 6 \\  \\

\sf \:\dfrac{6x - 5x}{3}  = 6 \\  \\

\sf \:\dfrac{x}{3}  = 6 \\  \\

\bf\implies \:  \: x = 18 \\  \\

Hence,

\bf\implies \:Total\:strength\:of\:workforce = 54 \\  \\

\rule{190pt}{2pt}

Additional Information

\begin{gathered}\: \: \: \: \: \: \begin{gathered}\begin{gathered} \footnotesize{\boxed{ \begin{array}{cc} \small\underline{\frak{\pmb{{More \: identities}}}} \\ \\ \bigstar \: \bf{ {(x + y)}^{2} =  {x}^{2}  + 2xy +  {y}^{2} }\:\\ \\ \bigstar \: \bf{ {(x - y)}^{2}  =  {x}^{2} - 2xy +  {y}^{2} }\:\\ \\ \bigstar \: \bf{ {x}^{2} -  {y}^{2} = (x + y)(x - y)}\:\\ \\ \bigstar \: \bf{ {(x + y)}^{2}  -  {(x - y)}^{2}  = 4xy}\:\\ \\ \bigstar \: \bf{ {(x + y)}^{2}  +  {(x - y)}^{2}  = 2( {x}^{2}  +  {y}^{2})}\:\\ \\ \bigstar \: \bf{ {(x + y)}^{3} =  {x}^{3} +  {y}^{3} + 3xy(x + y)}\:\\ \\ \bigstar \: \bf{ {(x - y)}^{3} =  {x}^{3} -  {y}^{3} - 3xy(x - y) }\:\\ \\ \bigstar \: \bf{ {x}^{3}  +  {y}^{3} = (x + y)( {x}^{2}  - xy +  {y}^{2} )}\: \end{array} }}\end{gathered}\end{gathered}\end{gathered}

Answered by prettykumari1988a
1

Answer:

54 is the right answer and also 18

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