Question

please answer for this question ​

Answer 1

Answer:

HEY MATE HERE IS YOUR ANSWER :

The number of pupils in the class = 50

Step-by-step explanation:

Let the no. of pupils = x

Total cost = Rs 1000

$each \: \: share = \frac{1000}{x}$

If 10 of them are failed to join the function then no. of pupils = (x – 10)

$each \: \: share \: = \frac{1000}{x - 10}$

According to condition, we get

$\frac{1000}{x - 10} - \frac{1000}{x} = 5$

by solving this , we get a quadratic equation

$5x {}^{2} - 50x - 10000 = 0$

Divide by 5, we get

$x {}^{2} - 10x - 2000 = 0$

$x {}^{2} - 50x + 40x - 2000 = 0$

$x(x - 50) + 40(x - 50) = 0$

$(x - 50)(x + 40) = 0$

$x = 50 \: \: \: or \: \: x = - 40$

since, no. of pupils cannot be negative.

:. X = 50

:. Number of pupils in the class = 50

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