Question

1. mia, thomas, and jasmine are competing in a barrel race. let m represent mia’s time. - thomas’s time is 8 seconds more than mia’s time. - jasmine’s time is \\(\frac{1}{3}\\) times the quantity of 21 seconds more than mia’s time. - the sum of all three times is 71 seconds. a. use the sentences above to fill in the blanks for the equation using expressions for each person’s time. \\(\underline{\quad\quad}\\) (mia) + \\(\underline{\quad\quad}\\) (thomas) + \\(\underline{\quad\quad}\\) (jasmine) = 71 seconds b. solve the equation for m in the equation you created. m = \\(\underline{\quad\quad}\\)

Explanation:

Step1: Define variables

Mia's time: $m$; Thomas's time: $m + 8$; Jasmine's time: $m + 21$

Step2: Set up the equation

Sum of times: $m + (m + 8) + (m + 21) = 71$

Step3: Simplify the equation

Combine like terms: $3m + 29 = 71$

Step4: Solve for $m$

Subtract 29: $3m = 42$; divide by 3: $m = 14$

Answer:

14