Mrs. Roberts organized her class into four equal sized teams. Boys make 3/4 of each of the teams. If there are 2 girls on each team, how many students are there in the whole class?
Please answer and explain.
If there are two girls on each team, that means the 3/4 boys = 6 boys.
4(6+2) = ?
Well, it seems that Mrs. Roberts is quite the master of gender balance! So, let's break it down. If there are 2 girls on each team, and boys make up 3/4 of each team, we can infer that there must be 4 boys on each team (since 3/4 of 4 is indeed 3).
Now, to find the total number of students in the class, we need to determine the number of teams. Since there are 4 equal-sized teams, we can simply multiply the number of teams by the number of students on each team. In this case, it's 4 teams multiplied by 6 students per team (2 girls + 4 boys).
4 teams x 6 students per team = 24 students.
So, the whole class consists of 24 students. I hope that helps!
Let's assume that there are a total of x students in the class.
Since Mrs. Roberts organized the class into four equal-sized teams, each team will have x/4 students.
Now, let's find out the number of boys and girls on each team.
According to the given information, boys make up 3/4 of each team. This means that for every 4 students on each team, 3 of them are boys.
Since there are 2 girls on each team, the total number of boys and girls on each team is 3 + 2 = 5.
To find the total number of students in the whole class, we need to multiply the number of students on each team by the number of teams.
Number of students in each team = x/4
Number of boys and girls in each team = 5
Total number of boys and girls in the class = 5 * (x/4)
Since we are given that there are 2 girls on each team, the total number of students in the class is also equal to the number of girls multiplied by the number of teams.
Number of girls = 2
Total number of students in the class = 2 * 4
Now, we can set up an equation:
5 * (x/4) = 2 * 4
Simplifying the equation:
5x/4 = 8/2
5x/4 = 4
Cross-multiplying:
5x = 4 * 4
5x = 16
Dividing both sides of the equation by 5:
x = 16/5
x = 3.2
Since the number of students in the class must be a whole number, we can conclude that there are 3.2 students in the class. However, since we can't have a fraction of a student, we can assume that there are actually 4 students in the class.
Therefore, the whole class has 4 students.
To find the number of students in the whole class, we need to determine the number of students in each team and then multiply by 4 since there are 4 teams.
Given that there are 2 girls on each team and boys make up 3/4 of each team, we can calculate the number of boys on each team as follows:
Let x be the total number of students on each team.
Then, boys make up 3/4 of the team, so the number of girls on each team is 1/4 of x.
Given that there are 2 girls on each team, we can set up the equation: 1/4 * x = 2.
To solve for x, we can multiply both sides of the equation by 4:
1/4 * x * 4 = 2 * 4,
x = 8.
So, each team has a total of 8 students (2 girls and 6 boys).
To find the total number of students in the whole class, we multiply the number of students on each team by the number of teams:
8 students/team * 4 teams = 32 students.
Therefore, there are 32 students in the whole class.