Respuesta :
Answer:
[tex]\frac{3S+2E}{60}[/tex]
Step-by-step explanation:
Let S represent number of seventh graders and E represent number of eighth graders.
We have been given a verbal description. We are asked to write an algebraic expression for the given description.
Half of the seventh graders would be [tex]\frac{S}{2}[/tex].
One third of the eighth graders would be [tex]\frac{E}{3}[/tex].
Half of the seventh graders and one third of the eighth graders would be [tex]\frac{S}{2}+\frac{E}{3}[/tex].
To divide it in 10 teams, we can divide [tex]\frac{S}{2}+\frac{E}{3}[/tex] by 10 or multiply by 1/10 as:
[tex]\frac{\frac{S}{2}+\frac{E}{3}}{10}[/tex]
[tex]\frac{\frac{3S}{6}+\frac{2E}{6}}{10}[/tex]
[tex]\frac{\frac{3S+2E}{6}}{10}[/tex]
[tex]\frac{3S+2E}{6*10}[/tex]
[tex]\frac{3S+2E}{60}[/tex]
Therefore, our required expression would be [tex]\frac{3S+2E}{60}[/tex].
