Answer:
[tex]2t-7[/tex]
Step-by-step explanation:
Let "t" represent the boys in the class then the amount of girls will be:
[tex]t-7[/tex]
Total Students = Number of Boys + Number of Girls
Total Students = [tex]t+t-7[/tex]
Total Students = [tex]2t-7[/tex]
Let's use a few example numbers to see if this equation is true...
[tex]t=10[/tex]
[tex]t-7=10-7=3[/tex]
[tex]10+3=13[/tex]
This means that [tex]2t-7[/tex] must also be equivalent to 13...
[tex]2(10)-7=20-7=13\rightarrow $ Correct![/tex]
Another example...
[tex]t=15[/tex]
[tex]t-7=15-7=8[/tex]
[tex]15+8=23[/tex]
This means that [tex]2t-7[/tex] must also be equivalent to 23...
[tex]2(15)-7=30-7=23\rightarrow$ Correct![/tex]
Both examples have been proven to be true therefore there are...
[tex]2t-7[/tex] students in the class
