Calculate 30% Girls in 240 Students: Finding Boys in Summer Camp

Question

The number of students in the 7th grade camp is 240. 30% of the students are girls. Calculate the number of boys participating in the summer camp.

Video Solution

Solution Steps

00:00 Establish the number of boys participating in the summer camp

00:05 Determine the percentage of boys

00:10 Subtract the percentage of girls from the whole in order to calculate this percentage

00:24 Convert the percentage to a fraction

00:29 Use the formula to convert percentages to fractions

00:34 Apply this formula to our exercise

00:42 Multiply this fraction by the number of students in order to establish the number of boys

00:47 Factor 70 into 7 and 10, and 100 into 10 and 10

00:55 Factor 240 into 24 and 10

01:02 Reduce wherever possible

01:17 This is the solution

Step-by-Step Solution

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

Step 1: Calculate the number of girls using the percentage provided.
Step 2: Deduct the number of girls from the total number of students to find the number of boys.

Now, let's work through each step:
Step 1: The percentage of students that are girls is 30%. So, we find the number of girls by calculating:

\text{Number of Girls} = 240 \times \left(\frac{30}{100}\right)

Calculating this gives:

\text{Number of Girls} = 240 \times 0.30 = 72

Step 2: Subtract the number of girls from the total number of students to find the number of boys:
Number of Boys = Total Students - Number of Girls = 240 - 72 = 168

Therefore, the number of boys participating in the summer camp is $168$ .

Answer

168

Related Subjects

Converting between fractions and percentages and vice versa

Question Types

Converting Fractions to Percentages and Vice Versa: Calculate the percentage of the whole number