6. of the 75 people in a room, $\frac{2}{5}$ are college graduates. if $\frac{4}{9}$ of the students who are not college graduates are seniors in high school, how many people in the room are neither college graduates nor high school seniors?

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Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Fraction Word Problems" ], "new_concepts": [], "current_concepts": [ "Fraction Word Problems", "Fraction Multiplication" ] } ## Calculate the number of non-college graduates $$ \begin{aligned} &\text{Total people} = 75 \ &\text{College graduates} = 75 \times \frac{2}{5} = 30 \ &\text{Non-college graduates} = 75 - 30 = 45 \end{aligned} $$ ## Calculate the number of high school seniors $$ \begin{aligned} &\text{High school seniors} = 45 \times \frac{4}{9} = 20 \end{aligned} $$ ## Calculate the remaining people $$ \begin{aligned} &\text{Neither} = 45 - 20 = 25 \end{aligned} $$ 25 { "subject": "Mathematics", "question_type": "Word Problem", "knowledge_point": [ "Mathematics", "Arithmetic", "Fraction Word Problems" ] }

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Question

Explanation:

Calculate the number of non-college graduates

Calculate the number of high school seniors

Calculate the remaining people

Answer: