Question

Jamie and Imani each play softball. Imani has won 5 fewer games than Jamie. Is it possible for Jamie to have won 11 games if the sum of the games Imani and Jamie have won together is 30?

A.) Yes; Jamie could have won 11 games because 2x − 5 = 30.
B.) Yes; Jamie could have won 11 games because 11 − 5 is less than 30.
C.) No; Jamie could not have won 11 games because 2x − 5 ≠ 30.
D.) No; Jamie could not have won 11 games because 2x − 11 ≠ 30.

Answer 1

Answer: is c (no Jamie could not have won 11 games because 2x-5=/30

Explanation:

Answer 2

Answer: Option C

No; Jamie could not have won 11 games because
`2x - 5 \\eq 30`

Explanation:

Let's call x the number of games that Jamie has won

Let's call y the number of games that Imani has won

We know that Imani has won 5 more games than Jamie.

Then we can say that:

`y= x - 5`

We know that the total number of games that Jamie and Imani have won together is 30.

So

`x + y = 30`

We want to know if it is possible that
`x = 11`.

Then we substitute the first equation in the second and get the following:

`x + x - 5 =30\\2x - 5 = 30`

Now replace
`x = 11` in the equation and check if equality is met.

`2 (11) - 5 = 30\\22 - 5 = 30\\17 \\eq 30`

Equality is not met, then the correct answer is option C