Question

Для экскурсии нужно собрать денег.Если каждый экскурсант внесет по 7,5р.,то на расходы не хватит 44р.Если каждый внесет по 8р,то останется 44р. Сколько человек принимало участие в экскурсии?

Answer 1

8х-7,5х=44*2

0,5х=88

х=176

Answer 2

Problem Analysis

To solve this problem, we need to find the number of participants in the excursion. We are given two scenarios: one where each participant contributes 7.5 rubles and there is a shortfall of 44 rubles, and another where each participant contributes 8 rubles and there is a surplus of 44 rubles. We need to determine the number of participants in both cases.

Solution

Let's assume the number of participants is x.

In the first scenario, where each participant contributes 7.5 rubles and there is a shortfall of 44 rubles, we can set up the following equation:

7.5x = total expenses - 44

In the second scenario, where each participant contributes 8 rubles and there is a surplus of 44 rubles, we can set up the following equation:

8x = total expenses + 44

To find the number of participants, we can solve these equations simultaneously.

Solving the Equations

Let's solve the equations using substitution:

From the first equation, we have:

7.5x = total expenses - 44

Rearranging the equation, we get:

total expenses = 7.5x + 44

Substituting this value into the second equation, we have:

8x = 7.5x + 44 + 44

Simplifying the equation, we get:

8x = 7.5x + 88

Subtracting 7.5x from both sides, we have:

0.5x = 88

Dividing both sides by 0.5, we get:

x = 176

Therefore, there were 176 participants in the excursion.

Conclusion

The number of participants in the excursion was 176.