Question

. A group of friends decided to go on a picnic
with an estimated expenditure of Rs.960 But
at the last minute four of them did not turn
up. As a consequence, the remaining ones had
to contribute Rs. 40 each extrA. Then the
number of friends who went to the picnic is
(1) 12 (2) 24 (3) 8 (4) 16​

Answer 1

➡️ Questions should be A group of friends..... expenditure of Rs 96.

➡️ Ones ... Contribute ... Rs 4

$\bold{\boxed{ANSWER}}$

$\mathcal{\blue{×Let\: The\: Total\: Number\: Of\: Friend \: =X}}$

Ones contribute Rs 4 each

$\frac{96}{x - 4} - \frac{96}{x} = 4 \\ \\ four \: of \: them \: however \: did \: not \: turn \: up \\ \\ 96 | \frac{1}{x - 4} - \frac{1}{x} | = 4 \\ \frac{1}{x - 4} - \frac{1}{x} | = \frac{4}{96} \\ \frac{x - x - 4}{x(x - 4)} = \frac{1}{24} \\ \frac{ - 4}{ {x}^{2} - 4x} = \frac{1}{24} \\ \\ 24 \times 4 = {x}^{2} - 4x \\ \\ 96 = {x}^{2} - 4x \\ {x }^{2} - 4x - 96 = 0 \\ \ lcm \: of \: 96 | \\ 2 |96| \\ 2 |48| \\ 2 |24| \\ 2 |12 | \\ 2| 6| \\ 3 |3| \\ 1$

••• 2x2x2. x 2x2x3 •••

$2 \times 2 \times 2 \times = 8 \\ 2 \times 2 \times 3 = 12$

12-8=4

${ x}^{2} - 4x - 96 = 0 \\ {x}^{2} - 12x + 8x - 96 = 0 \\ x(x - 12) + 8(x - 12) = 0 \\ (x + 8)(x - 12) = 0 \\ x = 12 \: The \: total \: friend$

↪️= Number of friends those who attend the picnic was....

12-4 =8.

↪️so 8 is the answer...✓✓✓

Mark as Brainlest✓✓✓