Question

Mrs. Rodriquez has 24 students in her class. Ten of the students are boys. Jeff claims that the ratio of boys to girls in this class must be 5:12. What is Jeff’s error and how can he correct it?

Jeff found the ratio of the number of boys to the total number of students. He needed to first find that there are 14 girls to get a ratio of 10:14 or 5:7.Jeff found the ratio of the number of boys to the total number of students. He needed to first find that there are 14 girls. The ratio would be 14:10 or 7:5.Jeff did not write the ratio in the correct order. He should have written it as 24:10. Jeff did not write the ratio in the correct order. He should have written it as 12:5.

Answer 1

The ratio is 10:14 or 5:7 which is the ratio of boys to girls!

Answer 2

The correct option A.

Explanation:

Total numbers of students = 24.

Number of boys = 10

Number of girls = 24 - 10 = 14

Jeff claims that the ratio of boys to girls in this class must be 5:12.

The ratio of the number of boys to the total number of students is

`(boys)/(students)=(10)/(24)=(5)/(12)=5:12`

Therefore Jeff found the ratio of the number of boys to the total number of students.

The ratio of boys to girls in this class is

`(boys)/(girls)=(10)/(14)=(5)/(7)=5:7`

Therefore the ratio of boys to girls in this class is 5:7.

Option A is correct.