Step-by-step explanation:
We have five blanks in the table:
The number of boys in algebra 1, the number of girls in algebra 1, the total number of students enrolled in geometry, the number of boys in algebra 2, and the total number of boys.
So, if the total number of girls enrolled is equal to the total number of boys, we can fill the blank of the total number of boys with 150.
Additionally, the number of boys in algebra 2 can be calculated as:
Boys in Algebra 2 = Total in Algebra 2 - Girls in Algebra 2
Boys in Algebra 2 = 40 - 28
Boys in Algebra 2 = 12
In the same way, the number total number of students enrolled in geometry can be calculated as:
Total Geometry = Boys in geometry + Girls in geometry
Total Geometry = 46 + 54
Total Geometry = 100
The number of boys in algebra 1 can be calculated as:
Boys in Algebra 1 = Total Boys - Boys in Algebra 2 - Boys in Geometry
Boys in Algebra 1 = 150 - 12 - 46
Boys in Algebra 1 = 92