Question

24 учащихся 5 класса вместе с учителями поехали на экскурсию. Билет стоит 5600 тенге, а учащимся предоставляется скидка 25%. Деньги, уплаченные за билеты учителями, в 6 раз меньше денег, уплаченных за билеты учащихся. Сколько учителей поехали на экскурсию?

Answer 1

Ответ:

Ученик - 24

Учитель -?

Ст-ть билетов ученик. - ?тг., (75% от 5600) х 24

Ст-ть билетов учитель. - 5600тг. * Х, всего в 6 раз меньше, чем стоимость бил. Учеников

1) 5600-25% =4200 тг - стоимость билета ученика

2) 4200*24=100 800 тг всего стоимость билетов учеников

3) 100 800:6= 16 800 тг всего стоимость билетов учителей

4) 16 800: 5600= 3 учителя

Ответ: 3 учителя поехали на экскурсию

Пошаговое объяснение:

Answer 2

Problem Analysis

We are given that 24 students from the 5th grade, along with their teachers, went on a field trip. The cost of a ticket is 5600 tenge, and students receive a 25% discount. The amount of money paid by the teachers for tickets is 6 times less than the amount paid by the students. We need to determine how many teachers went on the field trip.

Solution

Let's assume that the number of teachers who went on the field trip is x.

According to the given information, the cost of a ticket for students is 5600 tenge, and they receive a 25% discount. Therefore, the amount paid by each student is 75% of the ticket price, which is:

Amount paid by each student = 75% of 5600 tenge

To find the amount paid by the teachers, we are given that it is 6 times less than the amount paid by the students. Therefore, the amount paid by each teacher is:

Amount paid by each teacher = (1/6) * Amount paid by each student

Now, let's calculate the amount paid by each student and each teacher:

Amount paid by each student = 75% of 5600 tenge = 0.75 * 5600 tenge

Amount paid by each teacher = (1/6) * Amount paid by each student = (1/6) * (0.75 * 5600 tenge)

To find the total amount paid by the teachers, we need to multiply the amount paid by each teacher by the number of teachers:

Total amount paid by the teachers = x * Amount paid by each teacher

Since the total amount paid by the teachers is 6 times less than the total amount paid by the students, we can set up the following equation:

Total amount paid by the teachers = (1/6) * Total amount paid by the students

Substituting the values we calculated earlier:

x * (1/6) * (0.75 * 5600 tenge) = (1/6) * (24 * 0.75 * 5600 tenge)

Simplifying the equation:

x = (24 * 0.75 * 5600 tenge) / (0.75 * 5600 tenge)

Simplifying further:

x = 24

Therefore, the number of teachers who went on the field trip is 24.

Answer

The number of teachers who went on the field trip is 24.