Question

Ученики 5 класса купили билеты в цирк. чтобы отвезти их в цирк нужны микроавтобусы на 18 посадочных мест каждый или автобусы на 30 посадочных мест каждый. только в этом случае все ученики, которые купили билеты, поедут в цирк. при этом и в микроавтобусах и автобусах не будет свободного места. каково наименьшее количество учеников, купивших билет в цирк? сколько нужно микроавтобусов, чтобы отвезти детей в цирк, сколько нужно автобусов?

Answer 1

Нужно найти такое наименьшее число,которое без остатка делится и на 18 и на 30,то есть нужно найти наименьшее общее кратное НОК(18;30).Разложим на простые множители 18=2·3·3; 30=2·3·5,тогда НОК(18;30)=2·3·3·5=90. Таким образом,наименьшее количество учеников должно быть 90,тогда автобусов нужно 90:30=3,а микроавтобусов 90:18=5
Ответ:90 детей,5 микроавтобусов,3 автобуса

Answer 2

Calculating the Minimum Number of Students and Required Vehicles for the Circus Trip

To determine the minimum number of students who bought tickets to the circus and the number of microbuses and buses needed for the trip, we can use the given information about the seating capacity of the vehicles.

Given: - Microbuses have 18 seats each. - Buses have 30 seats each. - All students who bought tickets must have a seat in either a microbus or a bus.

Minimum Number of Students

To find the minimum number of students who bought tickets to the circus, we need to find the least common multiple (LCM) of 18 and 30, as this will give us the smallest number that is divisible by both 18 and 30.

The LCM of 18 and 30 is 90. Therefore, the minimum number of students who bought tickets to the circus is 90.

Number of Microbuses Needed

To calculate the number of microbuses needed, we divide the total number of students by the seating capacity of a microbus (18).

Number of microbuses needed = Total number of students / Seats in a microbus Number of microbuses needed = 90 / 18 Number of microbuses needed = 5

Therefore, 5 microbuses are needed to transport the students to the circus.

Number of Buses Needed

To calculate the number of buses needed, we divide the total number of students by the seating capacity of a bus (30).

Number of buses needed = Total number of students / Seats in a bus Number of buses needed = 90 / 30 Number of buses needed = 3

Hence, 3 buses are needed to transport the students to the circus.

In conclusion, the minimum number of students who bought tickets to the circus is 90. To transport all the students, 5 microbuses and 3 buses are required.