Question

150 делегатов международной конференции было заказано некоторое кол-во одинаковых автобусов. Т.к прибыло 168 делегатов, то пришлось заказать еще один автобус, но в каждом автобус разместилось на 2 человека меньше, чем планировалось. Сколько автобусов было заказано?

Answer 1

Ответ:

Объяснение:

Пусть Х - кол-во человек планировалось в 1 автобусе, тогда

150/х - автобусов заказали изначально;

Х-2 -чел разместились по факту

168/Х-2 - автобусов пришлось заказать (на 1 больше планируемого), значит:

168/х-2=150/х + 1

168х-150(х-2) /х(х-2) =1

18х+300=х²-2х

х²-20х-300=0

Д= 400+1200=1600

х1= (20-40)/2 = -10 не является решением

х2= (20+40)/2 = 30 чел. планировалось в 1 автобусе

168÷(30-2) = 6 заказали в итоге.

Или 150:30=5 было заказано изначально

Answer 2

Calculation of the Number of Buses Ordered

To determine the number of buses that were ordered, we need to consider the initial number of delegates and the additional bus that was ordered due to the increase in the number of delegates.

According to the information provided, initially, 150 delegates were expected to attend the international conference. A certain number of identical buses were ordered to transport these delegates.

However, 168 delegates actually arrived at the conference, which was more than the initially expected number. As a result, an additional bus had to be ordered.

It is mentioned that in each bus, there were 2 fewer people than planned. This means that the capacity of each bus was reduced by 2 people.

To calculate the number of buses that were ordered, we can set up the following equation:

(Number of Buses x Capacity per Bus) + (Additional Bus x Reduced Capacity per Bus) = Total Number of Delegates

Let's solve this equation to find the number of buses:

(150 x Capacity per Bus) + (1 x Reduced Capacity per Bus) = 168

Simplifying