the flower shop receives a rose delivery every 4 days. every 10 days, the shop gets other supplies, such as vases, ribbons, and cards. both deliveries arrived today, so trina is busy putting away the two orders. how many days will it be until the next time that both deliveries arrive on the same day?

days

Question

the flower shop receives a rose delivery every 4 days. every 10 days, the shop gets other supplies, such as vases, ribbons, and cards. both deliveries arrived today, so trina is busy putting away the two orders. how many days will it be until the next time that both deliveries arrive on the same day?

days

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Least Common Multiple" ], "new_concepts": [], "current_concepts": [ "Least Common Multiple", "Common Multiples" ] } ## Identify the given values and target Rose delivery interval: 4 days. Supply delivery interval: 10 days. Target: Find the next day both arrive together. ## Determine the mathematical operation Find the least common multiple of 4 and 10. ## Calculate the least common multiple $$ \begin{aligned} &\text{Multiples of } 4: 4, 8, 12, 16, 20, 24, \dots \ &\text{Multiples of } 10: 10, 20, 30, \dots \ &\text{LCM}(4, 10) = 20 \end{aligned} $$ The flower shop receives a rose delivery every 4 days. Every 10 days, the shop gets other supplies, such as vases, ribbons, and cards. Both deliveries arrived today, so Trina is busy putting away the two orders. How many days will it be until the next time that both deliveries arrive on the same day? 20 days { "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 given values and target

Determine the mathematical operation

Calculate the least common multiple

Answer: