Question

A training camp has provisions for 350 trainees for 30 days. after 15 days, 50 trainers went to another camp. however, after 20 days,75 new trainnnes joined the camp.find the number of days,the remaining provisions left for the trainees staying in the camp

Answer 1

Answer:

10 days

Step-by-step explanation:

Let us assume that the training camp has x numbers of trainers.

The training camp has provisions for 350 trainees for 30 days.

Given that, after 15 days 50 trainers left the camp.

So, after 15 days

x numbers of trainers can give training to 350 trainees for (30-15)= 15 days.

⇒(x-50) numbers of trainers can give training to 350 trainees for $\frac{15x}{x-50}$ days.

Now, after 20 days i.e. after another (20-15) =5 days 75 new trainers joined the camp.

So, (x-50+75)= x+25 numbers of trainers will be there after 5 more days.

Hence, (x-50) trainers can give training to 350 trainees for $(\frac{15x}{x-50}-5 )days$

⇒(x+25) trainers can give training to 350 trainees for$(\frac{15x}{x-50}-5 ).\frac{x-50}{x+25}days$

⇒(x+25) trainers can give training to 350 trainees for$\frac{15x-5x+250}{x-50}.\frac{x-50}{x+25} days$

⇒(x+25) trainers can give training to 350 trainees for$\frac{10x+250}{x+25}days$

⇒(x+25) trainers can give training to 350 trainees for 10 days.

Therefore, there will be 10 days left in the camp. (Answer)