standard_description: Find the inverse of a matrix if it exists and use it to solve systems of linear equations (using technology for matrices of dimension 3 × 3 or greater).
problem_activity: Task
The ratio of the number of boys to the number of girls at school is 4:5.  There are 270 students at this school. For each of the following statements, explain whether the statement is true or false and why:
The number of boys at school is 4/5 the number of girls.
4/5 of the students in the school are boys.
There are exactly 30 more girls than boys.
There are exactly 30 boys at the school.
5/9 of the students in the school are girls.


aligns: no