Question

The chorus at an elementary school is made up on fifth and sixth graders. This year, the chorus had 12 fifth-grade girls, 9 fifth-grade boys, 14 sixth-grade girls, and 10 sixth-grade boys.

Find the following ratios:

a. The ratio of boys to girls

b. The ratio of fifth graders to sixth graders

c. The ratio of girls to the total number of students in the chorus

Answer 1

A: 19:26 B:7:8 C:26:45

Explanation:

Question A

First to find the ratio between the boys and girls you would add all of the different groups with boys and girls. This would be done by,

Boys

9+10=19

Girls

12+14=26

Now that you have the total number of boys and girls you make this ratio,

19:26

That is the final answer

Question B

For this it is very similar to the boys to girls ratio. You still add the total on each side and then form a ratio. From before you would start by adding both of the different sides which would be done by,

Fifth Graders

12+9=21

Sixth Graders

14+10=24

Now that you have the total number of both of the different grades you make this ratio,

21:24

You can simplify this by finding the lowest common factor which would be

7:8

Question C

To answer this it is very similar to the first two but instead you will find one group and all of the groups to form the ratio. Now you need to add all of the people in each of the groups.

Girls

12+14=26

All

12+9+14+10=45

Now with the total number of both you will form a ratio

26:45

This is your final answer because you cant simplify this any further