Tina and Maryann each play tennis. Maryann has won 5 more games than Tina. Is it possible for Tina to have won 12 games if the sum of the games Maryann and Tina have won together is 29? Yes; Tina could have won 12 games because 2x + 5 = 29. Yes; Tina could have won 12 games because 12 + 5 is less than 29. No; Tina could not have won 12 games because 2x + 12 ≠ 29. No; Tina could not have won 12 games because 2x + 5 ≠ 29.
Accepted Solution
A:
Answer:Yes; Tina could have won 12 games because 2x + 5 = 29.Step-by-step explanation:Letx ----> the number of games that Tina has wony ---> the number of games that Maryann has wonwe know that[tex]y=x+5[/tex] -----> equation A[tex]x+y=29[/tex] ----> equation Bsubstitute equation A in equation B and solve for x[tex]x+x+5=29[/tex][tex]2x+5=29[/tex][tex]2x=29-5[/tex][tex]2x=24[/tex][tex]x=12[/tex]soThe number of games that Tina has won is 12