Girls, Boys and Two Sections

Difficulty: Hard · Topics: Discrete Mathematics, Sets, Word Problems

In a school with a middle-school and a high-school section, the ratio of the number of girls in the middle school to the number of boys in the high school is 3/2. The number of boys in the middle school is twice the number of girls in the high school.

There are 110 girls in this school and 80 high-school students.

How many students are there in the school?