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.

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luisejr77 luisejr77 · Answer 1 · 2019-07-19T21:05:12+02:00

Answer: Option C

No; Jamie could not have won 11 games because [tex]2x - 5 \neq 30[/tex]

Step-by-step 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:

[tex]y= x - 5[/tex]

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

So

[tex]x + y = 30[/tex]

We want to know if it is possible that [tex]x = 11[/tex].

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

[tex]x + x - 5 =30\\2x - 5 = 30[/tex]

Now replace [tex]x = 11[/tex] in the equation and check if equality is met.

[tex]2 (11) - 5 = 30\\22 - 5 = 30\\17 \neq 30[/tex]

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

hernandezvane925 hernandezvane925 · Answer 2 · 2021-07-23T20:14:53+02:00

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

Step-by-step explanation:

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