Question

Write an algebraic expression for each verbal description half of the seventh graders and one third of the eighth graders were divided into ten teams

Answer 1

`(3S+2E)/(60)`

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
`(S)/(2)`.

One third of the eighth graders would be
`(E)/(3)`.

Half of the seventh graders and one third of the eighth graders would be
`(S)/(2)+(E)/(3)`.

To divide it in 10 teams, we can divide
`(S)/(2)+(E)/(3)` by 10 or multiply by 1/10 as:

`((S)/(2)+(E)/(3))/(10)`

`((3S)/(6)+(2E)/(6))/(10)`

`((3S+2E)/(6))/(10)`

`(3S+2E)/(6*10)`

`(3S+2E)/(60)`

Therefore, our required expression would be
`(3S+2E)/(60)`.