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.