Question

A number of friends decided to go on a picnic and planned to spend rs. 84 on eatables. five of them, however, did not turn up. as a consequence, the remaining ones had to contribute rs. 5 each extra. the number of those who attended the picnic was

Answer 1

the no of friends decided to go to picnic was 12 but only 7 turned up.

Answer 2

$\bold{\boxed{ANSWER}}$

$\mathcal{\blue{Let\: the\: total\: number\: of\: friend \: =Y}}$

$\frac{84}{y - 5} - \frac{84}{y} = 5\\ \\ Five \: of \: them \: however \: did \: not \: turn \: up \\ \\ 84 | \frac{1}{y- 5} - \frac{1}{y} | = 5 \\ \frac{1}{y - 5} - \frac{1}{y} | = \frac{5}{84} \\ \frac{y - y - 5}{y(y - 5)} = \frac{1}{16.8} \\ \frac{ - 5}{ {y}^{2} - 5y} = \frac{1}{16.8} \\ \\ 16.8 \times 5 = {y}^{2} - 5y \\ \\ 84 = {y}^{2} - 5y \\ {y}^{2} - 5y- 84 = 0 \\ \ lcm \: of \: 84| \\ 2 |84| \\ 2 |42l \\ 3 |21| \\ 7|7 | \1$

••• 2x2. x. 3x7•••

$2 \times 2 \times = 4 \\ 3 \times \7times=21$

21-4=17

${ y}^{2} - 5y - 84 = 0 \\ {y}^{2} - 21y+ 4y - 84 = 0 \\ y(y- 21) + 4(y - 21) = 0 \\ (y + 4)(y- 21) = 0 \\ y= 21 \: The \: total \: friend$

↪️No of friends attend in picnic =

➡️21-17 =4

21-17 =4 ↪️so 4 is the answer

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