an awards banquet is attended by 120 people. ribbons are awarded for first, second, and third place in each of 25 categories. no one gets more than one ribbon. what percent of the people attending the banquet receives a ribbon?
3(25)/120 X 100 = 62.5%
3 x 25=75 P 75
-- -- =62.5%
100 120
cross multiply. P x 120= 120P
100 x 75=7500
7500/120=62.5%
To find the percentage of people attending the banquet who receive a ribbon, we need to determine how many individuals receive ribbons and divide it by the total number of attendees, then multiply by 100.
Given that there are 120 people attending the banquet, we will calculate how many individuals receive a ribbon for each place in each category. Since ribbons are awarded for first, second, and third place in each of the 25 categories, we need to calculate the total number of ribbons awarded.
First place ribbons: 1 ribbon per category * 25 categories = 25 ribbons
Second place ribbons: 1 ribbon per category * 25 categories = 25 ribbons
Third place ribbons: 1 ribbon per category * 25 categories = 25 ribbons
So, in total, there are 25 + 25 + 25 = 75 ribbons awarded.
Now, since no one gets more than one ribbon, it means 75 individuals receive a ribbon. Therefore, the percentage of people receiving a ribbon can be calculated as follows:
Percentage = (Number of individuals receiving a ribbon / Total number of attendees) * 100
Percentage = (75 / 120) * 100
Percentage = 0.625 * 100
Percentage = 62.5%
Therefore, 62.5% of the people attending the banquet receive a ribbon.