Louise Tammy Dolores and Cheryl score 78 points in the tennis matches they play. A score consecutive number of points from smallest to greatest in respect to the order of the name is mentioned. How many points does Lewis score? Options:A. 19 pB. 20 pC. 21 pD. 18 p

Respuesta :

Given that:

• Louise Tammy Dolores and Cheryl score 78 points in the tennis matches they play.

• A score consecutive number of points from smallest to greatest in respect to the order of the names: Louise Tammy Dolores and Cheryl.

Let be:

- The number of points that Louise scored in the tennis matches:

[tex]n[/tex]

- The number of points that Tammy scored in the tennis matches:

[tex]n+1[/tex]

-The number of points that Dolores scored in the tennis matches:

[tex]n+2[/tex]

- The number of points that Cheryl scored in the tennis matches:

[tex]n+3[/tex]

You can set up the following equation to represent the total number of points they scored in the tennis matches:

[tex]n+(n+1)+(n+2)+(n+3)=78[/tex]

Now you can solve for "n":

[tex]n+n+1+n+2+n+3=78[/tex][tex]4n+6=78[/tex][tex]4n=78-6[/tex][tex]\begin{gathered} n=\frac{72}{4} \\ \\ n=18 \end{gathered}[/tex]

Hence, the answer is: Option D.

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