Question

There are 20 girls in a class, and the ratio of boys to girls is 3 to 5

a) What is the total number of students in the class?
b) If four boys and four girls are moved to another class, does the ratio of boys to girls change? Explain.

PLEASE HELP ME IT'S DUE TOMORROW AND PLEASE PLEASE HAVE A EXPLANATION. :>

Answer 1

a 32 students

b the new ratio is 1:2

Explanation:

boys: girls: total

3 5 3+5

3 5 8

We can use proportions to solve this problem

Take the number of girls over the total.

girls 5 20 in class

---------- = ----------------- = ----------------

total 8 x in class

Using cross products

5*x = 8*20

5x= 160

Divide each side by 5

5x/5 = 160/5

x = 32

There are 32 students in the class

B)

There are 32 students and 20 girls

32 -20 = 12 so there are 12 boys

boys: girls: total

12 20 32

Now we move 4 boys and 4 girls to another class, so subtract 4 from the boys and 4 from the girls for 8 totals students moving

boys: girls: total

12-4 20-4 32-8

8 16 24

Simplifying ( divide each number by 8)

8/8 16/8 24/8

1 2 3

The ratio is not the same as 3 to 5