another type of percents im havin trouble with, i know im close to figuring it out but cant quite get there...

"there were 130 people in a school auditorium to listen to a political candidate. This reprsents 33 1/3% of the capacity of the auditorium. How many seats are in the auditorium?"

0.3333333x = 130

how did u turn 33 1/3% into decimal? and how would I solve 0.3333333x = 130?

And i rly do appreciate the help, have a huge test in the morning

To turn a %number into a decimal just move the decimal over two spots from the whole number. So, for example 100% would be 1, or 33 1/3 would be .33333 which is 1/3 of 100%. The 1/3 part turns into .33 because 1/3 of a dollar is 0.33 cents. another example would be 25% is 0.25 because 25% of a dollar is 0.25 or 25 cents. But the easiest way to answer this problem is take 130 and divide it by 33% or by 0.3333

To solve this problem, you need to find the total capacity of the auditorium. Since the given percentage is 33 1/3%, it means that 130 people represent this percentage of the total capacity.

To find the total capacity, you can set up a proportion:

(130 / Total Capacity) = (33 1/3 / 100)

To solve this proportion, you can cross-multiply and then solve for the Total Capacity:

130 * 100 = Total Capacity * 33 1/3

13,000 = Total Capacity * (1/3)

To remove the fraction, multiply both sides of the equation by 3:

(13,000 * 3) = Total Capacity * (1/3) * 3

39,000 = Total Capacity

Therefore, there are 39,000 seats in the auditorium.