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

Question

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

Bytelearn · Accepted Answer

Define Variables: Define the variables based on the information given. Let s be the number of formal speeches. Let t be the number of informal talks. We are told that there are 9 more formal speeches than informal talks, which can be represented as s = t + 9. We are also told that the total number of speaking events is 41, which can be represented as s + t = 41.Match Equations: Determine which system of equations matches the information given. Option (A) states: t = s + 9 s + t = 41 This does not match our defined variables because it suggests that there are 9 more informal talks than formal speeches, which is the opposite of what is given.  Option (B) states: t = s + 9 s = t - 41 This is incorrect because the second equation does not represent the total number of speaking events correctly.  Option (C) states: s = t + 9 s + t = 41 This matches our defined variables and correctly represents the information given.Confirm Correctness: Confirm that the chosen system of equations (Option C) is the correct representation of the problem. s = t + 9 (9 more formal speeches than informal talks) s + t = 41 (Total number of speaking events) This system of equations correctly represents the problem and can be used to solve for the number of formal speeches (s) and informal talks (t).

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