Question

в традиционном лыжном марафоне жителей города N участвовало в 1,5 раза больше любителей лыжного спорта,чем профессиональных спортсменов.Среди любителей призерами стали 20% от числа участников-любителей,а среди профессионалов 90% от числа участников -профессионалов.Сколько процентов от всех участников соревнований стали призерами лыжного марафона?  

Answer 1

Calculation of the Percentage of Participants Who Became Winners in the Ski Marathon

To calculate the percentage of participants who became winners in the ski marathon, we need to consider the following information:

- The number of amateur skiers was 1.5 times greater than the number of professional athletes. - Among the amateurs, 20% of the participants became winners. - Among the professionals, 90% of the participants became winners.

Let's assume that the total number of participants in the marathon is represented by the variable T.

The number of amateur skiers can be calculated as 1.5x, where x represents the number of professional athletes.

Therefore, the number of amateur skiers who became winners is 0.2(1.5x), and the number of professional athletes who became winners is 0.9x.

To find the total number of participants who became winners, we can add these two numbers together:

0.2(1.5x) + 0.9x

Simplifying the expression, we get:

0.3x + 0.9x = 1.2x

Now, we need to find the percentage of participants who became winners out of the total number of participants. This can be calculated by dividing the number of winners by the total number of participants and multiplying by 100:

Percentage of winners = (1.2x / T) * 100

Unfortunately, we don't have the exact values for the number of participants or the ratio between amateur skiers and professional athletes. Therefore, we cannot provide an exact percentage without this information.

If you have any additional information or specific values, please let me know, and I'll be happy to help you with the calculation.