Question

n 2010, the ratio of boys to girls in the top 10 percent of their class at Bixby High School was 3 to 5. In 2011, the number of boys increased by 6 and the number of girls increased by 2. If the new ratio of boys to girls is 2 to 3, write an expression that represents how many students were in the top 10% in 2010.

Answer 1

Answer: Total number of students will be 112.

Explanation:

Since we have given that

The ratio of boys to girls in the top 10% of their class at Bixby High School was

`3:5`

So, Let the number of boys be 3x

Let the number of girls be 5x

According to question,

`(3x+6)/(5x+2)=(2)/(3)\\\\3(3x+6)=2(5x+2)\\\\9x+18=10x+4\\\\18-4=10x-9x\\\\14=x`

So, total number of students will be

`3x+5x=8x\\\\8* 14=112`

Hence, Total number of students will be 112.