Question

Группа туристов (220 человек) полностью заполнила несколько 50-местных и 35-местных автобусов.Известно,что всего было подано 5 автобусов.Сколько 50-местных и сколько 35-местных автобусов было занято туристами?Решить системой!

Answer 1

х --- число 50-ти местных автобусов;
у --- число 35-ти местных автобусов;
Составим и решим систему уравнений;
$\left \{ {{x+y=5} \atop {50x+35y=220}} \right.$;
найдем из первого уравнения у=5-х и подставим это значение у во второе:
50х + 35(5 - х) = 220;
50х + 175 - 35х = 220;
50х - 35х = 220 - 175
15х = 45;
х = 45 : 15 = 3 (авт)
у = 5 - 3 = 2 (авт)
Ответ:туристами были заняты 3 пятидесятиместных и 2 тридцатипятиместных автобуса.
Проверка: 50*3+35*2=220;   220=220

Answer 2

Problem Analysis

We are given that a group of tourists, consisting of 220 people, completely filled several 50-seat and 35-seat buses. We also know that a total of 5 buses were used. We need to determine how many 50-seat and 35-seat buses were occupied by the tourists. This problem can be solved using a system of equations.

Solution

Let's assume that x represents the number of 50-seat buses and y represents the number of 35-seat buses occupied by the tourists.

From the given information, we can set up the following equations:

Equation 1: x + y = 5 (since a total of 5 buses were used) Equation 2: 50x + 35y = 220 (since the total number of tourists is 220)

To solve this system of equations, we can use the method of substitution or elimination. Let's use the method of substitution.

From Equation 1, we can express x in terms of y: x = 5 - y

Substituting this value of x into Equation 2, we get: 50(5 - y) + 35y = 220 250 - 50y + 35y = 220 -15y = -30 y = 2

Substituting the value of y back into Equation 1, we can find x: x + 2 = 5 x = 3

Therefore, there were 3 50-seat buses and 2 35-seat buses occupied by the tourists.

Answer

The group of tourists, consisting of 220 people, occupied 3 50-seat buses and 2 35-seat buses.