Question

in a camp there is enough food for 300 persons for 42 days how long will the food last if 50 more persons join the camp

Answer 1

Heya!
The food will last for 36 days
Check out my attachment:

Answer 2

Answer:

36 days

Step-by-step explanation:

Since, If a thing is sufficient for $x_1$ people for $n_1$ days, and the same thing is sufficient for $x_2$ people for $n_2$ days,

Then,

$x_1\times n_1=x_2\times n_2$

Here, $x_1$ = 300, $n_1$ = 42 days, $x_2$ = 300 + 50 = 350,

$300\times 42=350\times n_2$

$12600=350 n_2\implies n_2=36$,

Hence, the food will sufficient for 36 days.