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.

Step-by-step 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,

$\frac{3x+6}{5x+2}=\frac{2}{3}\\\\3(3x+6)=2(5x+2)\\\\9x+18=10x+4\\\\18-4=10x-9x\\\\14=x$

So, total number of students will be

$3x+5x=8x\\\\8\times 14=112$

Hence, Total number of students will be 112.