
Спортсменов доставили на место соревнований в первый лень на 25 автобусах,а во второй-на 20
автобусах,по одному и тому же числу спортсменов в каждом автобусе.Сколько спортсменов было доставлено на место соревнований в эти два дня,если во второй день приехало на 75 человек меньше,чем в первый

Ответы на вопрос







Problem Analysis
We are given that athletes were transported to the competition venue on the first day using 25 buses and on the second day using 20 buses. The number of athletes in each bus was the same on both days. We are also told that on the second day, 75 fewer athletes arrived compared to the first day. We need to determine the total number of athletes who were transported to the competition venue over these two days.
Solution
Let's assume that the number of athletes in each bus on both days is x.
On the first day, the total number of athletes transported can be calculated by multiplying the number of buses (25) by the number of athletes in each bus (x):
Total athletes on the first day = 25 * x
On the second day, the total number of athletes transported can be calculated in the same way:
Total athletes on the second day = 20 * x
We are also given that on the second day, 75 fewer athletes arrived compared to the first day. This can be expressed as:
Total athletes on the second day = Total athletes on the first day - 75
Now we can set up an equation to solve for x:
20 * x = 25 * x - 75
Simplifying the equation:
20x = 25x - 75
5x = 75
x = 15
Therefore, there were 15 athletes in each bus on both days.
To find the total number of athletes transported over the two days, we can substitute the value of x into either of the equations:
Total athletes on the first day = 25 * 15 = 375
Total athletes on the second day = 20 * 15 = 300
The total number of athletes transported over the two days is:
375 + 300 = 675
Therefore, a total of 675 athletes were transported to the competition venue over these two days.
Answer
A total of 675 athletes were transported to the competition venue over these two days.


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