Question

A science class has a ratio of girls to boys of 4 to 3. If the class has a total of 35 students, how many more girls are there than boys?
A. 20
B. 15
C. 7
D. 5
E. 1

Answer 1

Given that the ratio of girls to boys is 4 : 3.

Let's assume there are 4x number of girls and 3x number of boys in the class.

Class has total 35 students which means sum of 4x and 3x is equal to 35.

Therefore, we can set up an equation as following:

4x + 3x = 35

7x = 35 Combine the like terms.

$\frac{7x}{7} =\frac{35}{7}$ Divide each sides by 7 to isolate x.

So, x = 5

Next step is to plug in x=5 in the expression 4x and 3x to get the number of girls and boys in the class.

So, number of girls = 4x = 4(5) = 20

Number of boys = 3x = 3(5) = 15

So, there are (20-15= 5) 5 girls more than the boys in the class.