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. Mikayla recommends 9 more formal speeches than informal talks, which can be represented as s = t + 9. 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 the information given because it suggests there are 9 more informal talks than formal speeches, which is the opposite of what is stated.  Option (B) states: t = s + 9 s = t - 41 This is incorrect because the second equation does not make sense in the context of the problem. It suggests that the number of formal speeches is 41 less than the number of informal talks, which is not possible since the total number of events is 41.  Option (C) states: s = t + 9 s + t = 41 This matches the information given, with the first equation representing 9 more formal speeches than informal talks and the second equation representing the total number of speaking events.Choose Correct Equations: Choose the correct system of equations based on the analysis in Step 2. The correct system of equations is Option (C): s = t + 9 s + t = 41

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