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Mikayla is the communications director for a politician and has recommended that a total of 41 speaking events are given by the politician before election day. Each speaking event is either a formal speech or an informal talk. Mikayla also recommends a total of 9 more formal speeches than informal talks. Which of the following systems of equations can be used to find out the number of formal speeches 
s versus the number of informal talks 
t ?
Choose 1 answer:
(A) 
t=s+9

s+t=41
(B) 
t=s+9

s=t-41
(C) 
s=t+9

s+t=41

Mikayla is the communications director for a politician and has recommended that a total of 4141 speaking events are given by the politician before election day. Each speaking event is either a formal speech or an informal talk. Mikayla also recommends a total of 99 more formal speeches than informal talks. Which of the following systems of equations can be used to find out the number of formal speeches ss versus the number of informal talks tt?\newlineChoose 11 answer:\newline(A) \newlinet=s+9t=s+9\newlines+t=41s+t=41\newline(B) \newlinet=s+9t=s+9\newlines=t41s=t-41\newline(C) \newlines=t+9s=t+9\newlines+t=41s+t=41

Full solution

Q. Mikayla is the communications director for a politician and has recommended that a total of 4141 speaking events are given by the politician before election day. Each speaking event is either a formal speech or an informal talk. Mikayla also recommends a total of 99 more formal speeches than informal talks. Which of the following systems of equations can be used to find out the number of formal speeches ss versus the number of informal talks tt?\newlineChoose 11 answer:\newline(A) \newlinet=s+9t=s+9\newlines+t=41s+t=41\newline(B) \newlinet=s+9t=s+9\newlines=t41s=t-41\newline(C) \newlines=t+9s=t+9\newlines+t=41s+t=41
  1. Define Variables: Define the variables based on the information given.\newlineLet ss be the number of formal speeches.\newlineLet tt be the number of informal talks.\newlineWe are told that there are 99 more formal speeches than informal talks, which can be represented as s=t+9s = t + 9.\newlineWe are also told that the total number of speaking events is 4141, which can be represented as s+t=41s + t = 41.
  2. Match Equations: Determine which system of equations matches the information given.\newlineOption (A) states:\newlinet=s+9t = s + 9\newlines+t=41s + t = 41\newlineThis does not match our defined variables because it suggests that there are 99 more informal talks than formal speeches, which is the opposite of what is given.\newlineOption (B) states:\newlinet=s+9t = s + 9\newlines=t41s = t - 41\newlineThis is incorrect because the second equation does not represent the total number of speaking events correctly.\newlineOption (C) states:\newlines=t+9s = t + 9\newlines+t=41s + t = 41\newlineThis matches our defined variables and correctly represents the information given.
  3. Confirm Correctness: Confirm that the chosen system of equations (Option C) is the correct representation of the problem.\newlines=t+9s = t + 9 (99 more formal speeches than informal talks)\newlines+t=41s + t = 41 (Total number of speaking events)\newlineThis system of equations correctly represents the problem and can be used to solve for the number of formal speeches (ss) and informal talks (tt).

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