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?"
I wanna say 433 seats? but idk if i did that correctly...?
You didn't do it correctly. See my last answer.
To find the total number of seats in the auditorium, you can use the concept of percentages and proportions. Here's how you can approach this problem:
Step 1: Convert the given percentage to a decimal. 33 1/3% is equal to 33.33% or 0.3333 as a decimal.
Step 2: Let's assume the total number of seats in the auditorium is "x."
Step 3: The number of people in the auditorium is equal to 0.3333 (or 33.33%) times the total number of seats:
Number of people = 0.3333x
Step 4: Set up an equation using the given information: 130 = 0.3333x
Step 5: Solve the equation for "x" by isolating it on one side:
0.3333x = 130
Divide both sides of the equation by 0.3333:
x = 130 / 0.3333
Calculating this, you find:
x ≈ 390
So, there are approximately 390 seats in the auditorium.