Question

Janet and Nadia each play basketball. Nadia has won twice the number of games Janet has. Is it possible for Janet to have won 10 games if the sum of the games Nadia and Janet have won together is 24?

Answer 1

not possible

Explanation:

Let be "x" the number of games Janet won.

We know that Nadia has won twice the number of games Janet has and the sum of the games Nadia and Janet have won together is 24.

Then, we express this situation with this equation:

So, let's check if it is possible for Janet to have won 10 games. Substitute into the expression:

Therefore, it is not possible for Janet to have won 10 games.

Answer 2

Answer: It is not possible for Janet to have won 10 games.

Explanation:

Let be "x" the number of games Janet won.

We know that Nadia has won twice the number of games Janet has and the sum of the games Nadia and Janet have won together is 24.

Then, we express this situation with this equation:

`x+2x=24`

So, let's check if it is possible for Janet to have won 10 games. Substitute
`x=10` into the expression:

`10+2(10)=24\\\\10+20=24\\\\30=24\ (This\ is\ not\ true)`

Therefore, it is not possible for Janet to have won 10 games.