In physics class, the girl to boy ratio is 3 to 4.
If there are a total of 14 students, how many girls are there?
Cross multiply and solve for g.
3/7 = g/14
g/b = 3/4
4 g = 3 b
b = (4/3) g
g + 4 g/3 = 14
7 g/3 = 14
g/3 = 2
g = 6
To find the number of girls in the physics class, we first need to determine the ratio between girls and boys. The given ratio is 3 to 4, meaning for every 3 girls, there are 4 boys.
Next, we can represent the ratio as fractions. Let's use the variable "x" to represent the common multiple of both fractions. The fraction representing girls would be 3x out of a total of 3x+4x = 7x students in the class.
The total number of students in the class is given as 14. Therefore, we can set up the equation:
3x + 4x = 14
Combining like terms, we get:
7x = 14
To solve for x, we divide both sides of the equation by 7:
x = 14/7
Simplifying the fraction:
x = 2
Now that we know the value of x, we can find the number of girls by substituting it back into the original expression:
3x = 3 * 2 = 6
So, there are 6 girls in the physics class.