Calculate Total Students: Converting 240 Girls at 30% to Full Population

Question

The number of female students participating in the 7th grade camp is 240, and their percentage is 30% of all students participating in the camp. Find the number of students (including girls and boys) participating in the summer camp.

Video Solution

Solution Steps

00:00 Establish the total number of students
00:05 Convert from a percentage to a fraction
00:11 Use the formula to convert percentages to fractions
00:16 Apply this formula to our exercise
00:26 Construct the appropriate equation according to the given data
00:46 Isolate the total number of students
01:26 Break down 240 into factors of 30 and 8
01:36 Reduce wherever possible
01:41 This is the solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the given information
  • Step 2: Convert the percentage to a decimal
  • Step 3: Use the percentage formula
  • Step 4: Calculate the total number of students

Now, let's work through each step:
Step 1: The problem gives us the number of female students participating in the camp, which is 240.
Step 2: Convert the percentage of females into a decimal: 30%=30100=0.30 30\% = \frac{30}{100} = 0.30 .
Step 3: Apply the formula for total students:
Total number of students=2400.30\text{Total number of students} = \frac{240}{0.30}
Step 4: Perform the calculation:
2400.30=800\frac{240}{0.30} = 800
Thus, the total number of students participating in the summer camp is 800.

Therefore, the solution to the problem is 800.

Answer

800