a florist is making blue and white flower arrangements. for the arrangements, he places a red ribbon on every 3rd arrangement and a blue ribbon on every 5th arrangement. which arrangement will be the first to have a red ribbon and a blue ribbon?

use the drop-down menu to complete the statement.

the arrangement will be the first to have a red ribbon and a blue ribbon.

Question

a florist is making blue and white flower arrangements. for the arrangements, he places a red ribbon on every 3rd arrangement and a blue ribbon on every 5th arrangement. which arrangement will be the first to have a red ribbon and a blue ribbon?

use the drop-down menu to complete the statement.

the arrangement will be the first to have a red ribbon and a blue ribbon.

use the drop-down menu to complete the statement.

the   arrangement will be the first to have a red ribbon and a blue ribbon.

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Least Common Multiple" ], "new_concepts": [], "current_concepts": [ "Least Common Multiple", "Common Multiples" ] } ## Identify the mathematical problem Find the first arrangement that has both ribbons. This requires finding the smallest common multiple of the two intervals. ## Find the least common multiple Using the *Least Common Multiple* knowledge point $$ \begin{aligned} &\text{Interval for red ribbon} = 3\ &\text{Interval for blue ribbon} = 5\ &\text{LCM}(3, 5) = 15 \end{aligned} $$ The 15th arrangement will be the first to have a red ribbon and a blue ribbon. { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Least Common Multiple" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the mathematical problem

Find the least common multiple

Answer: